Homepage of Steffen Oppermann

Preprints

• (With Chrysostomos Psaroudakis and Torkil Utvik Stai) Change of rings and singularity categories
• (With Hiroyuki Minamoto, Osamu Iyama, and Martin Herschend) Representation theory of Geigle-Lenzing complete intersections

Publications

33. (With Nils Melvær Nornes) Degenerations of submodules and composition series, Algebr. Represent. Theory 20 (2017), no. 4, 803-819 (publication, preprint)
32. (With Boris Lerner) A recollement approach to Geigle-Lenzing weighted projective varieties, Nagoya Math. J. 226 (2017), 71-105 (publication, preprint)
31. Quivers for silting mutation, Adv. Math. 307 (2017), 684-714 (publication, preprint)
30. (With Petter Andreas Bergh and David A. Jorgensen) The Gorenstein defect category, Q. J. Math. 66 (2015), no. 2, 459-471 (publication, preprint)
29. (With Idun Reiten and Hugh Thomas) Quotient closed subcategories of quiver representations, Compos. Math. 151 (2015), no. 3, 568–602 (publication, preprint)
28. (With Claire Amiot) Cluster equivalence and graded derived equivalence, Doc. Math. 19 (2014), 1155-1206 (publication, preprint)
27. (With Claire Amiot) Higher preprojective algebras and stably Calabi-Yau properties, Math. Res. Lett. 21 (2014), no. 4, 617-647 (publication, preprint)
26. (With Petter Andreas Bergh and David A. Jorgensen) The negative side of cohomology for Calabi-Yau categories, Bull. Lond. Math. Soc. 46 (2014), no. 2, 291-304 (publication, preprint)
25. (With Martin Herschend and Osamu Iyama) n-representation infinite algebras Adv. Math. 252 (2014), 292-342 (publication, preprint)
24. (With Claire Amiot) Algebras of acyclic cluster type: Tree type and type Ã
    Nagoya Math. J. 211 (2013), 1-50 (publication, preprint)
23. (With Osamu Iyama) Stable categories of higher preprojective algebras
    Adv. Math. 244 (2013), 23-68 (publication, preprint)
22. (With Claire Amiot) The image of the derived category in the cluster category
    Int. Math. Res. Not. (2013), no. 4, 733-760 (publication, preprint)
21. (With Christof Geiß and Bernhard Keller) n-angulated categories
    J. Reine Angew. Math. 675 (2013), 101-120 (publication, preprint)
20. (With Hugh Thomas) Higher dimensional cluster combinatorics and representation theory
    J. Eur. Math. Soc. 14 (2012), no. 6, 1679–1737 (publication, preprint)
19. (With Marco Angel Bertani-Økland and Anette Wrålsen) Graded mutation in cluster categories coming from hereditary categories with a tilting object
    J. Pure Appl. Algebra 219 (2012), no. 12, 2783-2799 (publication, preprint)
18. (With Jan Šťovíček) Generating the bounded derived category and perfect ghosts
    Bull. Lond. Math. Soc. 44 (2012), 285-298 (publication, preprint)
17. (With Petter Andreas Bergh) Cluster tilting and complexity
    Int. Math. Res. Not. (2011), no. 22, 5241-5258 (publication, preprint)
16. (With Petter Andreas Bergh) Cohomological symmetry in triangulated categories
    J. Algebra 347 (2011), no. 1, 143-152 (publication, preprint)
15. (With Osamu Iyama) n-representation finite algebras and n-APR tilting
    Trans. Amer. Math. Soc. 363 (2011), no. 12, 6575-6614 (publication, preprint)
14. (With Marco Angel Bertani-Økland) Mutating loops and 2-cycles in 2-CY triangulated categories
    J. Algebra 334 (2011), no. 1, 195-218 (publication, preprint)
13. (With Vanessa Miemietz) On the representation dimension of Schur algebras
    Algebr. Represent. Theory 14 (2011), no. 2, 283-300 (publication, preprint)
12. Representation dimension of artin algebras
    São Paulo J. Math. Sci. 4 (2010), no. 3, 479-498 (preprint)
11. Hochschild cohomology and homology of quantum complete intersections
    Algebra Number Theory 4 (2010), no. 7, 821-838 (publication, preprint)
10. (With Marco Angel Bertani-Økland and Anette Wrålsen) Finding a cluster-tilting object for a representation finite cluster-tilted algebra
    Colloq. Math. 121 (2010), no. 2, 249-253 (publication, preprint)
9. (With Petter Andreas Bergh, Srikanth Iyengar and Henning Krause) Dimensions of triangulated categories via Koszul objects
   Math. Z. 265 (2010), no. 4, 849-864 (publication, preprint)
8. (With Marco Angel Bertani-Økland and Anette Wrålsen) Constructing tilted algebras from cluster-tilted algebras
   J. Algebra 323 (2010), no. 9, 2408-2428 (publication, preprint)
7. The dimension of the derived category of elliptic curves and tubular weighted projective lines
   Colloq. Math. 119 (2010), 143-156 (publication, preprint)
6. Representation dimension of quasi-tilted algebras
   J. Lond. Math. Soc. (2) 81 (2010), no. 2, 435-456 (publication, preprint)
5. Lower bounds for Auslander's representation dimension
   Duke Math. J. 148 (2009), no. 2, 211-249 (publication, preprint)
4. Wild algebras have one-point extensions of representation dimension at least four
   J. Pure Appl. Algebra 213 (2009), no. 10, 1945-1960 (publication, preprint)
3. (With Petter Andreas Bergh) Cohomology of twisted tensor products
   J. Algebra 320 (2008), no. 8, 3327-3338 (publication, preprint)
2. (With Petter Andreas Bergh) The representation dimension of quantum complete intersections
   J. Algebra 320 (2008), no. 1, 354-368 (publication, preprint)
1. A lower bound for the representation dimension of kC_pⁿ
   Math. Z. 256 (2007), no. 3, 481 - 490 (publication, preprint)

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Last changed: 2018-02-05