List of publications

In print

  1. Reiten, Idun; Über ein Problem der additiven Zahlentheorie, Master thesis, Univ. of Oslo (1968)
  2. Reiten, Idun; Trivial extensions and Gorenstein rings, Ph.D.-thesis, Univ. of Illinois (1971)
  3. Reiten, Idun; The converse to a theorem of Sharp on Gorenstein modules, Proc. Amer. Math. Soc. 32 (1972), 417-420
  4. Fossum, R.; Reiten, Idun; Commutative n-Gorenstein rings, Math. Scand. 31 (1972), 33-48
  5. Fossum, R.; Griffith, Phillip A.; Reiten, Idun; Trivial extensions of abelian categories and applications to rings: an expository account, Ring theory (Proc. Conf., Park City, Utah, 1971), pp. 125-151. Academic Press, New York, 1972
  6. Auslander, Maurice; Reiten, Idun; Stable equivalence of Artin algebras, Proceedings of the Conference on Orders, Group Rings and Related Topics (Ohio State Univ., Columbus, Ohio, 1972), pp. 8-71. Lecture Notes in Math., Vol. 353, Springer, Berlin, 1973
  7. Auslander, Maurice; Reiten, Idun; Stable equivalence of dualizing R-varieties, Advances in Math. 12 (1974), 306-366
  8. Fossum, R.; Griffith, Phillip A.; Reiten, Idun; Trivial extensions of abelian categories. Homological algebra of trivial extensions of abelian categories with applications to ring theory, Lecture Notes in Mathematics, Vol. 456. Springer-Verlag, Berlin-New York, 1975. xi+12 pp
  9. Fossum, R.; Foxby, Hans-Bjørn; Griffith, Phillip A.; Reiten, Idun; Minimal injective resolutions with applications to dualizing modules and Gorenstein modules, Inst. Hautes Études Sci. Publ. Math. No. 45 (1975), 193-215
  10. Auslander, Maurice; Reiten, Idun; Stable equivalence of dualizing R-varieties. II. Hereditary dualizing R-varieties, Advances in Math. 17 (1975), no. 2, 93-121
  11. Auslander, Maurice; Reiten, Idun; Stable equivalence of dualizing R-varieties. III. Dualizing R-varieties stably equivalent to hereditary dualizing R-varieties, Advances in Math. 17 (1975), no. 2, 122-142
  12. Auslander, Maurice; Reiten, Idun; Stable equivalence of dualizing R-varieties. IV. Higher global dimension, Advances in Math. 17 (1975), no. 2, 143-166
  13. Auslander, Maurice; Reiten, Idun; Stable equivalence of dualizing R-varieties. V. Artin algebras stably equivalent to hereditary algebras, Advances in Math. 17 (1975), no. 2, 167-195
  14. Reiten, Idun; Stable equivalence for some categories with radical square zero, Trans. Amer. Math. Soc. 212 (1975), 333-345
  15. Fuller, Kent R.; Reiten, Idun; Note on rings of finite representation type and decompositions of modules, Proc. Amer. Math. Soc. 50 (1975), 92-94
  16. Auslander, Maurice; Reiten, Idun; On a generalized version of the Nakayama conjecture, Proc. Amer. Math. Soc. 52 (1975), 69-74
  17. Auslander, Maurice; Green, Edward L.; Reiten, Idun; Modules with waists, Illinois J. Math. 19 (1975), 467-478
  18. Reiten, Idun; Almost split sequences. II, Represent. Algebr., Proc. int. Conf., Ottawa 1974, Lect. Notes Math. 488, 9-19 (1975)
  19. Auslander, Maurice; Reiten, Idun; Representation theory of Artin algebras. III. Almost split sequences, Comm. Algebra 3 (1975), 239-294
  20. Reiten, Idun; Stable equivalence of dualizing R-varieties. VI. Nakayama dualizing R-varieties, Adv. Math., vol. 17, no. 2 (1975), 196-211.
  21. Auslander, Maurice; Green, Edward L.; Reiten, Idun; Modules having waists, Represent. Algebr., Proc. Int. Conf., Ottawa 1974, Lect. Notes Math., 488, 20-28 (1975)
  22. Reiten, Idun; Stable equivalence of self-injective algebras, J. Algebra 40 (1976), no. 1, 63-74
  23. Green, Edward L.; Reiten, Idun; On the construction of ring extensions, Glasgow Math. J. 17 (1976), no. 1, 1-11
  24. Auslander, Maurice; Reiten, Idun; On the representation type of triangular matrix rings, J. London Math. Soc. (2) 12 (1975/76), no. 3, 371-382
  25. Reiten, Idun; Correction to: "Stable equivalence of dualizing R-varieties. VI. Nakayama dualizing R-varieties" (Advances in Math. 17 (1975), no. 2, 196-211), Advances in Math. 23 (1977), no. 2, 211-212
  26. Auslander, Maurice; Reiten, Idun; Representation theory of Artin algebras. IV. Invariants given by almost split sequences, Comm. Algebra 5 (1977), no. 5, 443-518
  27. Auslander, Maurice; Reiten, Idun; Representation theory of Artin algebras. V. Methods for computing almost split sequences and irreducible morphisms, Comm. Algebra 5 (1977), no. 5, 519-554
  28. Reiten, Idun; Almost split sequences for group algebras of finite representation type, Trans. Amer. Math. Soc. 233 (1977), 125-136
  29. Auslander, Maurice; Reiten, Idun; Representation theory of Artin algebras. VI. A functorial approach to almost split sequences, Comm. Algebra 6 (1978), no. 3, 257-300
  30. Auslander, Maurice; Platzeck, María Inés; Reiten, Idun; Periodic modules over weakly symmetric algebras, J. Pure Appl. Algebra 11 (1977/78), no. 1-3, 279-291
  31. Reiten, Idun; A note on stable equivalence and Nakayama algebras, Proc. Amer. Math. Soc. 71 (1978), no. 2, 157-163
  32. Auslander, Maurice; Platzeck, María Inés; Reiten, Idun; Coxeter functors without diagrams, Trans. Amer. Math. Soc. 250 (1979), 1-46
  33. Reiten, Idun; Algebras stably equivalent to Nakayama algebras of Loewy length at most 4, J. Austral. Math. Soc. Ser. A 27 (1979), no. 1, 37-50
  34. Auslander, Maurice; Bautista, Raymondo; Platzeck, María Inés; Reiten, Idun; Smalø, Sverre O.; Almost split sequences whose middle term has at most two indecomposable summands, Canad. J. Math. 31 (1979), no. 5, 942-960
  35. Reiten, Idun; Almost split sequences, Ring theory (Proc. Antwerp Conf. (NATO Adv. Study Inst.), Univ. Antwerp, Antwerp, 1978), pp. 513-533, Lecture Notes in Pure and Appl. Math., 51, Dekker, New York, 1979
  36. Auslander, Maurice; Reiten, Idun; Uniserial functors, Representation theory, II (Proc. Second Internat. Conf., Carleton Univ., Ottawa, Ont., 1979), pp. 1-47, Lecture Notes in Math., 832, Springer, Berlin, 1980
  37. Reiten, Idun; The use of almost split sequences in the representation theory of Artin algebras, Representations of algebras (Puebla, 1980), pp. 29-104, Lecture Notes in Math., 944, Springer, Berlin-New York, 1982
  38. Reiten, Idun; Generalized stable equivalence and group algebras, J. Algebra 79 (1982), no. 2, 319-340
  39. Reiten, Idun; Roggenkamp, Klaus W.; Inner products on a Green ring for finite groups with a cyclic p-Sylow subgroup, Illinois J. Math. 29 (1985), no. 4, 640-661
  40. Auslander, Maurice; Reiten, Idun; Modules determined by their composition factors, Illinois J. Math. 29 (1985), no. 2, 280-301
  41. Reiten, Idun; Riedtmann, Christine; Skew group algebras in the representation theory of Artin algebras, J. Algebra 92 (1985), no. 1, 224-282
  42. Reiten, Idun; An introduction to the representation theory of Artin algebras, Bull. London Math. Soc. 17 (1985), no. 3, 209-233
  43. Reiten, Idun; Skew group rings in the computation of Grothendieck groups and in the representation theory of Artin algebras, Group actions on rings (Brunswick, Maine, 1984), 245-252, Contemp. Math., 43, Amer. Math. Soc., Providence, R.I., 1985
  44. Auslander, Maurice; Reiten, Idun; Grothendieck groups of algebras and orders, J. Pure Appl. Algebra 39 (1986), no. 1-2, 1-51
  45. Auslander, Maurice; Reiten, Idun; McKay quivers and extended Dynkin diagrams, Trans. Amer. Math. Soc. 293 (1986), no. 1, 293-301
  46. Reiten, Idun; Cohen-Macaulay modules over isolated singularities, Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin, 37ème année (Paris, 1985), 25-32, Lecture Notes in Math., 1220, Springer, Berlin-New York, 1986
  47. Auslander, Maurice; Reiten, Idun; Almost split sequences for rational double points, Trans. Amer. Math. Soc. 302 (1987), no. 1, 87-97
  48. Auslander, Maurice; Reiten, Idun; Almost split sequences in dimension two, Adv. in Math. 66 (1987), no. 1, 88-118
  49. Auslander, Maurice; Reiten, Idun; Almost split sequences for Z-graded rings, Singularities, representation of algebras, and vector bundles (Lambrecht, 1985), 232-243, Lecture Notes in Math., 1273, Springer, Berlin-New York, 1987
  50. Reiten, Idun; Finite-dimensional algebras and singularities, Singularities, representation of algebras, and vector bundles (Lambrecht, 1985), 35-57, Lecture Notes in Math., 1273, Springer, Berlin-New York, 1987
  51. Reiten, Idun; Almost split sequences for Cohen-Macaulay-modules, Math. Ann. 277 (1987), no. 2, 345-349
  52. Auslander, Maurice; Reiten, Idun; Almost split sequences for abelian group graded rings, J. Algebra 114 (1988), no. 1, 29-39
  53. Auslander, Maurice; Reiten, Idun; Grothendieck groups of algebras with nilpotent annihilators, Proc. Amer. Math. Soc. 103 (1988), no. 4, 1022-1024
  54. Auslander, Maurice; Reiten, Idun; Cohen-Macaulay modules for graded Cohen-Macaulay rings and their completions, Commutative algebra (Berkeley, CA, 1987), 21-31, Math. Sci. Res. Inst. Publ., 15, Springer, New York-Berlin, 1989
  55. Auslander, Maurice; Reiten, Idun; The Cohen-Macaulay type of Cohen-Macaulay rings, Adv. in Math. 73 (1989), no. 1, 1-23
  56. Reiten, Idun; van den Bergh, Michel; Two-dimensional tame and maximal orders of finite representation type, Mem. Amer. Math. Soc. 80 (1989), no. 408, viii+72 pp
  57. Auslander, Maurice; Reiten, Idun; Smalø, Sverre O.; Galois actions on rings and finite Galois coverings, Math. Scand. 65 (1989), no. 1, 5-32
  58. Auslander, Maurice; Reiten, Idun; Graded modules and their completions, Topics in algebra, Part 1 (Warsaw, 1988), 181-192, Banach Center Publ., 26, Part 1, PWN, Warsaw, 1990
  59. Auslander, Maurice; Reiten, Idun; Applications of contravariantly finite subcategories, Adv. Math. 86 (1991), no. 1, 111-152
  60. Auslander, Maurice; Reiten, Idun; Cohen-Macaulay and Gorenstein Artin algebras, Representation theory of finite groups and finite-dimensional algebras (Bielefeld, 1991), 221-245, Progr. Math., 95, Birkhäuser, Basel, 1991
  61. Auslander, Maurice; Reiten, Idun; On a theorem of E. Green on the dual of the transpose, Representations of finite-dimensional algebras (Tsukuba, 1990), 53-65, CMS Conf. Proc., 11, Amer. Math. Soc., Providence, RI, 1991
  62. Auslander, Maurice; Reiten, Idun; Homologically finite subcategories, Representations of algebras and related topics (Kyoto, 1990), 1-42, London Math. Soc. Lecture Note Ser., 168, Cambridge Univ. Press, Cambridge, 1992
  63. Reiten, Idun; Skowronski, Andrzej; Smalø, Sverre O.; Short chains and short cycles of modules, Proc. Amer. Math. Soc. 117 (1993), no. 2, 343-354
  64. Reiten, Idun; Skowronski, Andrzej; Smalø, Sverre O.; Short chains and regular components, Proc. Amer. Math. Soc. 117 (1993), no. 3, 601-612
  65. Auslander, Maurice; Reiten, Idun; k-Gorenstein algebras and syzygy modules, J. Pure Appl. Algebra 92 (1994), no. 1, 1-27
  66. Happel, Dieter; Reiten, Idun; Smalø, Sverre O.; Short cycles and sincere modules, Proceedings of the Sixth International Conference on Representations of Algebras (Ottawa, ON, 1992), 4 pp., Carleton-Ottawa Math. Lecture Note Ser., 14, Carleton Univ., Ottawa, ON, 1992
  67. Happel, Dieter; Reiten, Idun; Smalø, Sverre O.; Quasitilted algebras, Finite-dimensional algebras and related topics (Ottawa, ON, 1992), 163-181, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 424, Kluwer Acad. Publ., Dordrecht, 1994
  68. Donkin, Stephen; Reiten, Idun; On Schur algebras and related algebras. V. Some quasi-hereditary algebras of finite type, J. Pure Appl. Algebra 97 (1994), no. 2, 117-134
  69. Happel, Dieter; Reiten, Idun; Smalø, Sverre O.; Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 120 (1996), no. 575, viii+ 88 pp
  70. Happel, Dieter; Reiten, Idun; Smalø, Sverre O.; Piecewise hereditary algebras, Arch. Math. (Basel) 66 (1996), no. 3, 182-186
  71. Auslander, Maurice; Reiten, Idun; DTr-periodic modules and functors, Representation theory of algebras (Cocoyoc, 1994), 39-50, CMS Conf. Proc., 18, Amer. Math. Soc., Providence, RI, 1996
  72. Auslander, Maurice; Reiten, Idun; Syzygy modules for Noetherian rings, J. Algebra 183 (1996), no. 1, 167-185
  73. Reiten, Idun; Homological theory of Noetherian rings, Representation theory of algebras and related topics (Mexico City, 1994), 247-259, CMS Conf. Proc., 19, Amer. Math. Soc., Providence, RI, 1996
  74. Happel, Dieter; Reiten, Idun; An introduction to quasitilted algebras, Representation theory of groups, algebras, and orders (Constanc ta, 1995). An. c Stiinc t. Univ. Ovidius Constanc ta Ser. Mat. 4 (1996), no. 2, 137-149
  75. Reiten, Idun; Old and recent work with Maurice, Representation theory and algebraic geometry (Waltham, MA, 1995), 63-87, London Math. Soc. Lecture Note Ser., 238, Cambridge Univ. Press, Cambridge, 1997
  76. Reiten, Idun; Dynkin diagrams and the representation theory of algebras, Notices Amer. Math. Soc. 44 (1997), no. 5, 546-556
  77. Green, Edward L.; Martínez-Villa, Roberto; Reiten, Idun; Solberg, Øyvind; Zacharia, Dan; On modules with linear presentations, J. Alg., 205, 578-604 (1998).
    PDF-file
  78. Happel, Dieter; Reiten, Idun; Directing objects in hereditary categories, Trends in the representation theory of finite-dimensional algebras (Seattle, WA, 1997), 169-179, Contemp. Math., 229, Amer. Math. Soc., Providence, RI, 1998
  79. Reiten, Idun; Finite dimensional algebras and singularity theory, Proc. Trieste Conf. 1998.
  80. Reiten, Idun; Tilting theory and quasitilted algebras, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 109-120 (electronic)
  81. Reiten, Idun; Homological properties of almost split sequences, Algebras and modules, II (Geiranger, 1996), 457-466, CMS Conf. Proc., 24, Amer. Math. Soc., Providence, RI, 1998
  82. Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Exact categories and vector space categories, Trans. Amer. Math. Soc. 351 (1999), no. 2, 647--682.
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  83. Happel, Dieter; Reiten, Idun; Hereditary categories with tilting object, Math. Z. 232 (1999), no. 3, 559-588
  84. Lenzing, Helmut; Reiten, Idun; Additive functions for quivers with relations, Colloq. Math. 82 (1999), no. 1, 85-103
  85. Reiten, Idun; Skowronski, Andrzej; Sincere stable tubes, J. Algebra 232 (2000), no. 1, 64-75
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  86. Platzeck, María Inés; Reiten, Idun; Modules of finite projective dimension for standardly stratified algebras, Comm. Alg., 29 (3), 973-986 (2001)
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  87. Reiten, Idun; van den Bergh, Michel; Grothendieck groups and tilting objects, J. Algebra and Representation theory, 4, 1-23 (2001)
  88. Reiten, Idun; Hereditary abelian categories and almost split sequences, K. W. Roggenkamp and M. Stefanescu (eds.), Algebra - Representation Theory, 257-271, Kluwer Acad. Press 2001
  89. Green, Edward L.; Reiten, Idun; Solberg, Øyvind; Dualities on generalized Koszul algebras, Memoirs, Amer. Math. Soc., vol. 159, 2002, 67 pp., ISBN 0-8218-2934-3
    DVI-file Postscript-file
  90. Happel, Dieter; Reiten, Idun; A combinatorial characterization of hereditary categories containing simple objects, Representations of algebras (Sao Paulo, 1999), 91-97, Lecture Notes in Pure and Appl. Math., 224, Dekker, New York, 2002
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  91. Happel, Dieter; Reiten, Idun; A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line, Proc. AMS, 130 (2002), no. 3, 643-651 (electronic)
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  92. Reiten, Idun; van den Bergh, Michel; Noetherian hereditary categories satisfying Serre duality, Journal Amer. Math. Soc., vol. 15, no. 2 (2002), 295-366
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  93. Happel, Dieter; Reiten, Idun; Hereditary abelian categories with tilting objects over arbitrary base fields, J. Algebra 256 (2002), no.2, 414--432.
  94. Reiten, Idun; Hereditary categories with Serre duality, Proc.of the Nineth International Conference Beijing,2000, Vol.1, Beijing Normal University Press, 109-121, 2002
  95. Reiten, Idun; Skowronski, Andrzej; Characterizations of algebras with small homological dimensions, Adv. Math. 179 (2003) no. 1, 122-154
  96. Reiten, Idun; Skowronski, Andrzej; Generalized double tilted algebras, J. Math. Soc. Japan 56 (2004), no. 1, 269--288.
    DVI-file Postscript-file
  97. Mantese, Francesca; Reiten, Idun; Wakamatsu tilting modules, J. Algebra 278 (2004), no. 2, 532--552.
  98. Kleiner, Mark; Reiten, Idun; Abelian categories, almost split sequences and comodules, Trans. Amer. Math. Soc., 357 (2005), no. 8, 3201--3214
  99. Geiss, Christof; Reiten, Idun; Gentle algebras are Gorenstein, Representations of algebras and related topics, 129-133, Fields Inst. Commun., 45, Amer. Math. Soc., Providence, RI, 2005
  100. Reiten, Idun; Ringel, Claus M.; Modules of infinite length over canonical algebras, Canad. J. Math. Soc., 58 (2006), no. 1, 180-224.
    DVI-file Postscript-file
  101. Buan, Aslak; Marsh, Bethany; Reineke, Markus; Reiten, Idun; Todorov, Gordana; Tilting theory and cluster combinatorics, Advances in mathematics, 204 (2), 572-618 (2006)
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  102. Lenzing, Helmut; Reiten, Idun; Hereditary noetherian categories of domestic or degenerated type, Math. Z., 254 (2006), no. 1, 133--171.
  103. Buan, Aslak; Marsh, Bethany; Reiten, Idun; Cluster-tilted algebras of finite representation type, Journal of Algebra, Volume 306, Issue 2, 412-431 (2006)
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  104. Buan, Aslak; Reiten, Idun; Seven, Ahmet; Tame concealed algebras and cluster quivers of minimal infinite type , Journal of Pure and Applied algebra, Volume 211, Issue 1, 1-292 (2007)
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  105. Buan, Aslak; Reiten, Idun; Acyclic quivers of finite mutation type, International Mathematics Research Notices, Article ID 12804, 1-10 (2006)
  106. Beligiannis, Apostolos; Reiten, Idun; Homological aspects of torsion theories, Mem. Amer. Math. Soc., 207p, Vol 118, No 883 (2007)
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  107. Buan, Aslak; Marsh, Bethany; Reiten, Idun; Cluster-tilted algebras, Trans. Amer. Math. Soc., 359, no. 1, 323--332 (2007)
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  108. Reiten, Idun; Tilting theory and homologically finite subcategories with applications to quasi-hereditary algebras., Handbook of Tilting, London Mathematical Society Lecture Note Series (No. 332), Cambridge Univ. Press, 2007. ISBN-13: 978-0-521-68045-5.
  109. Buan, Aslak; Marsh, Bethany; Reiten, Idun; Todorov, Gordana; Clusters and seeds in acyclic cluster algebras, Proc. Amer. Math. Soc. 135, No. 10 (2007), 3049-3060 With an appendix of Buan-Caldero-Keller-Marsh-Reiten-Todorov
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  110. de la Peña, José Antonio; Reiten, Idun; Trisections of module categories, Colloq. Math., 107 (2007), no. 2, 191-219.
  111. Keller, Bernhard; Reiten, Idun; Cluster tilted algebras are Gorenstein and stably Calabi-Yau, Adv. Math. 211 (2007), 123-151
  112. Buan, Aslak; Marsh, Bethany; Reiten, Idun; Cluster mutation via quiver representations, Commentarii Mathematici Helvetici, Volume 83 no.1, 143-177, 2008
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  113. Burban, Igor; Iyama, Osamu; Keller, Bernhard; Reiten, Idun; Cluster tilting for one-dimensional hypersurface singularities, Adv. Math. 217 No 6 (2008), 2443-2484
  114. Iyama, Osamu; Reiten, Idun; Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras, Amer. J. Math., Vol 130, No 4 (2008), 1097-1149
  115. Happel, Dieter; Keller, Bernhard; Reiten, Idun; Bounded derived categories and repetitive algebras, J. Alg, Vol 319, No 4 (2008), 1611-1634
  116. Keller, Bernhard; Reiten, Idun; Acyclic Calabi-Yau categories are cluster categories, with an appendix by Michel Van den Bergh, Comp. Math., Vol 144, No 05 (2008), 1332-1342
  117. Buan, Aslak; Iyama, Osamu; Reiten, Idun; Smith, David; Mutation of cluster-tilting objects and potentials, American J. Math 133(2011)
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  118. Buan, Aslak; Iyama, Osamu; Reiten, Idun; Scott, Jeanne; Cluster structures for 2-Calabi-Yau categories and unipotent groups , Compositio Math.Volume 145 (4), 2009 (1035-1079)
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  119. Buan, Aslak; Marsh, Bethany; Reiten, Idun; Denominators of cluster variables, Journal of London Math. Soc., Vol 79 (2009), 589-611
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  120. Buan, Aslak; Reiten, Idun; Thomas, Hugh; m-noncrossing partitions and m-clusters, Proc. of FPSAC 2009
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  121. Buan, Aslak; Reiten, Idun; Thomas, Hugh; From m-clusters to m-noncrossing partitions via exceptional sequences, Math. Zeitschrift. Vol 271. Numbers 3-4, 1117-1139 (2012)
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  122. Iyama, Osamu; Reiten, Idun; 2-Auslander algebras associated with reduced words in Coxeter groups, Int. math. Res Notices (2011) no. 4, 1782-1803
  123. Amiot, Claire; Iyama, Osamu; Reiten, Idun; Todorov, Gordana; Preprojective algebras and c-sortable words, Proc. London Math. Soc. 104 (2012) no 3, 513-539
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  124. Reiten, Idun; Cluster categories, arXiv: 1012:4949, Proc. ICM 2010, Hyderabad
  125. Buan, Aslak; Reiten, Idun; Thomas, Hugh; Three kinds of mutation, Journal of Algebra 339, no.1 (2011), 97-113
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  126. Amiot, Claire; Reiten, Idun; Todorov, Gordana; The ubiquity of generalized cluster categories, Adv. Math. Jan. 2011

Preprints

  1. Buan, Aslak; Reiten, Idun; From tilted to cluster-tilted algebras of Dynkin type, preprint
    URL
  2. Reiten, Idun; Tilting theory and cluster algebras, arXiv: 1012.6014, preprint 2008, Proc. Trieste Workshop
  3. Amiot, Claire; Iyama, Osamu; Reiten, Idun; Stable categories of Cohen-Macaulay modules and cluster categories, arXiv: 1104.3658(v2), 11 July, 2012
  4. Adachi, Takahide ; Iyama, Osamu; Reiten, Idun; T-tilting theory, arXiv: 1210.1036v3 Nov 21, 2012
  5. Oppermann, Steffen; Reiten, Idun; Thomas, Hugh; Quotient closed subcategories of quiver representations, arxiv: 1205.3268v2, March 1, 2013

Books

  1. Auslander, Maurice; Reiten, Idun; Smalø, Sverre O.; Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics, 36. Cambridge University Press, Cambridge, 1995. xiv+423 pp. ISBN: 0-521-41134-3 (Corrected reprint, 1997, ISBN 0-521-59923-7)

Editorships

  1. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Algebras and modules. I, Papers from the Workshop on Representations of Algebras and Related Topics preceding the 8th International Conference on Representations of Algebras (ICRA VIII) held in Trondheim, July 29-August 3, 1996. Edited by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. CMS Conference Proceedings, 23. Published by the American Mathematical Society, Providence, RI; for the Canadian Mathematical Society, Ottawa, ON, 1998. xiv+198 pp. ISBN: 0-8218-0850-8
  2. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Algebras and modules. II, Proceedings of the 8th International Conference on Representations of Algebras (ICRA VIII) held in Geiranger, August 4-10, 1996. Edited by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. CMS Conference Proceedings, 24. Published by the American Mathematical Society, Providence, RI; for the Canadian Mathematical Society, Ottawa, ON, 1998. xxii+569 pp. ISBN: 0-8218-1076-6
  3. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Selected works of Maurice Auslander, Part 1, Edited and with a foreword by Idun Reiten, Sverre O. Smalø, and Øyvind Solberg. American Mathematical Society, Providence, RI, 1999. xxii+895 pp. ISBN: 0-8218-0998-9.
  4. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Selected works of Maurice Auslander, Part 2, Edited and with a foreword by Idun Reiten, Sverre O. Smalø, and Øyvind Solberg. American Mathematical Society, Providence, RI, 1999. xvi+743 pp. ISBN: 0-8218-1000-6.
  5. Reiten, Idun; Ringel, Claus M.; Representation theory of finite-dimensional algebras, Abstracts from the workshop held February 6--12, 2005. Organized by Idun Reiten and Claus Michael Ringel. Oberwolfach Reports. Vol. 2, no. 1. Oberwolfach Rep. 2 (2005), no. 1, 319-406
  6. Buan, Aslak; Reiten, Idun; Solberg, Øyvind; Algebras, Quivers and Representations, The Abel Symposium 2011, Abel Symposia, Vol. 8, 2013.

Book reviews

  1. Reiten, Idun; Review of F. Kasch: Moduln und Ringe, B. G. Teubner Stuttgart 1977, Bull. Amer. Math. Soc. (1978), 925-929.

Obituaries

  1. Peskine, Christian; Reiten, Idun; Maurice Auslander (1926-1994). With a note by Hugo Rossi., Notices Amer. Math. Soc., 42 (1995), no. 4, 450-453
  2. Buchsbaum, D.; Reiten, Idun; Ringel, Claus M.; Maurice Auslander 1926-1994, Representation theory of algebras (Cocoyoc, 1994), 1-15, CMS Conf. Proc., 189 Amer. Math. Soc., Providence, RI, 1996