Alexander Zimmermann's list of publications

Click here for (partially older) electronic versions of some of my papers on David Benson's preprint server.

Click here to see recent changes

  1. Endliche Untergruppen der Einheitengruppe ganzzahliger Gruppenringe, Dissertation (thesis) Universität Stuttgart 1992. dvi pdf
  2. Chapter XIII Group extensions, in: Klaus W. Roggenkamp and Martin J. Taylor, Group Rings and Class Groups, Birkhäuser Verlag Basel 1992, pages 104--116.
  3. with Klaus W. Roggenkamp ; On the isomorphism problem for integral group rings of finite groups, Archiv der Mathematik 59 (1992) pages 534--544.
  4. Involutions in integral group rings of certain dihedral groups, Comptes rendus mathématiques de l'académie des sciences de la sociéeté royale du Canada XIV no. 4 (1992), pages 148--150.
  5. Conjugacy of involutions in integral group rings of certain dihedral and semidihedral groups, Sitzungsberichte der gemeinnützigen Akademie der Wissenschaften zu Erfurt, Mathematisch Naturwissenschaftliche Klasse 4 (1993) pages 77--88. dvi pdf
  6. On the torsion units in integral group rings of dihedral 2--groups, Journal of Algebra 175 (1995), pages 122-136. dvi pdf
  7. with Klaus W. Roggenkamp ; Outer group automorphisms may become inner in the integral group ring, Journal of Pure and Applied Algebra 103 (1995) pages 91--99. dvi pdf
  8. with Klaus W. Roggenkamp A counterexample to the isomorphism problem for infinite polycyclic groups, Journal of Pure and Applied Algebra 103 (1995) pages 101--103. ps
  9. Torsion units in integral group rings, conjugacy classes locally versus globally, Archiv der Mathematik 66 No. 6 (1996) 455-466 dvi pdf
  10. with Steffen König ; Tilting hereditary orders, Communications in Algebra 24 (6) (1996) 1897--1913. dvi pdf
  11. Derived Equivalences of Orders, in Proceedings of the ICRA VII, Mexico, eds: Bautista, Martinez, de la Pena. Can. Math. Soc. Conference Proceedings 18, (1996) 721--749. dvi pdf
  12. with Steffen König ; Tilting selfinjective algebras and Gorenstein orders, Oxford Quarterly Journal of Mathematics (2) 48 (1997) 351-361. dvi pdf
  13. Twosided tilting complexes for Green orders and Brauer tree algebras, Journal of Algebra 187 (1997), 446-473. dvi pdf
  14. Twosided tilting complexes for Gorenstein orders, Journal of Algebra 209 (1998) 585-621. dvi pdf
  15. with Steffen König ; Derived equivalences for group rings, (with contributions by Bernhard Keller, Markus Linckelmann, Jeremy Rickard and Raphael Rouquier) 255 pages, Springer Lecture Notes in Mathematics 1685 (1998).
    see an errata list.
  16. Tilted symmetric orders are symmetric orders, Archiv der Mathematik 73 (1999) pages 15-17. dvi pdf
  17. Cohomology of Groups, Abelian Sylow subgroups and Splendid Equivalences, Algebra Montpellier Announcements 01-2000 , 5 pages.
  18. with Eric Jespers ; Group automorphism Action on Group Cohomology, (2000) 13 pages, preprint dvi pdf . a note
  19. Braid groups as self-equivalences of derived categories, in Roggenkamp and Stefanescu (eds), Proceedings of the NATO ASI ``Algebra-Representation Theory'', Constanta 2000; Kluwer NATO Science Series (2001), pages 419-438. dvi pdf
  20. Cohomology of groups and splendid equivalences of derived categories Mathematical Proceedings of the Cambridge Philosophical Society 131 (2001) 459-472 dvi pdf .
  21. Self-equivalences of the derived category of a Brauer tree algebra with exceptional vertices An. St. Univ. Ovidius Constantza 9 (1) (2001) 139-148
    birthday volume for Professor Mirela Stefanescu dvi pdf . In the meantime the paper appeared. You find the ps-file of the printed version with a nice university seal on the top here .
  22. with Eric Jespers ; Sl2-action on the cohomology of a rank two abelian group with arbitrary coefficient domain Proceedings of the American Mathematical Society 130 (2002) 315-325 dvi pdf
    See here for the Proceedings of the AMS homepage from where you can download the article; provided your institution subscribed for the PAMS.
  23. Auto-equivalences of derived categories acting on cohomology; Archiv der Mathematik 79 (2002) 93-103 dvi pdf
  24. Self-tilting complexes yield unstable modules Transactions of the American Mathematical Society 354 (2002) 2707-2724 dvi pdf
    See here for the Transactions of the AMS homepage from where you can download the article; provided your institution subscribed for the TAMS.
  25. with Jan Schröer ; Stable endomorphism algebras of modules over special biserial algebras , Mathematische Zeitschrift 244 (2003) 515-530. dvi pdf arXiv
    As remarked by Guodong Zhou in his thesis , Lemma 3.1, Lemma 3.2 and Lemma 3.2 are false as stated. The Lemmas can be modified though so that the final use in the proof of the main theorem is unaltered. See the pdf-file or the correcponding See the ps-file
  26. Comments on gentleness of endomorphism algebras , Algebra Montpellier Announcements 1-2003 ; or dvi pdf
  27. with Raphaël Rouquier ; Picard groups for derived module categories, Proceedings of the London Mathematical Society (3) 87 (2003), 197-225. dvi pdf
    See here for the abstract published by the London Mathematical Society.
  28. Automorphisms of Green orders and their derived categories ''Algebras and Representation Theory'' 7 (1) (2004) 19-34 dvi pdf ; see here for the Journal's page, provided jour institution subscribed for the Journal.
  29. with Bernt Tore Jensen and Xiuping Su ; Degenerations for derived categories Journal of Pure and Applied Algebra 198 (2005) 281-295. dvi pdf arXiv
  30. with Bernt Tore Jensen and Xiuping Su ; Degeneration-like order in triangulated categories Journal of Algebra and its applications 4 (2005) 587-597; dvi pdf
  31. Invariance of generalized Reynolds ideals under derived equivalences Mathematical Proceedings of the Royal Irish Academy 107A (1), 1-9 (2007) dvi pdf arXiv
    and the Oberwolfach report on the article (in pdf )
    In November 2008 the article was studied in the Groupe de Travail Interuniversitaire d'Algèbre par Rachel Taillefer. She kindly wrote a detailed version of the article.
  32. Fine Hochschild invariants of derived categories for symmetric algebras Journal of Algebra 308 (2007) 350-367, dvi pdf arXiv
    See here for the published article provided your institution subscribed to Journal of Algebra.
  33. with Christine Bessenrodt and Thorsten Holm ; Generalized Reynolds Ideals for Non symmetric algebras, Journal of Algebra 312 (2007) 985-994. dvi pdf arXiv
  34. with Thorsten Holm ; Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type Journal of Algebra 320 (2008) 3425-3437 dvi ps arXiv
  35. with Wolfgang Willems ; On Morita theory for self-dual modules Quarterly Journal of Mathematics (Oxford), 40 (2009) 387-400. dvi pdf arXiv
  36. Hochschild homology invariants of Külshammer type of derived categories Communications in Algebra 39 (Vol 8) (2011) 2963-2980. dvi pdf arXiv
  37. with Yuming Liu and Guodong Zhou ; Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture to appear in Mathematische Zeitschrift dvi pdf . DOI:10.1007/s00209-010-0825-z springerlink online first
  38. with Guodong Zhou ; Classifying tame blocks and related algebras up to stable equivalences of Morita type Journal of Pure and Applied Algebra 215 (2011) 2969-2986 dvi pdf arXiv
  39. with Guodong Zhou ; Auslander-Reiten conjecture for symmetric algebras of polynomial growth to appear in ''Beiträge zur Algebra und Geometrie'' (Contributions to Algebra and Geometry) dvi pdf arXiv DOI:10.1007/s13366-011-0036-8 springerlink online first
  40. Külshammer type invariants in representation theory to appear in the Bulletin of the Iranian Mathematical Society dvi pdf arXiv
  41. with Thorsten Holm ; Deformed preprojective algebras of type L: Külshammer spaces and derived equivalences Journal of Algebra 346 no1 (2011) 116-146; dvi pdf arXiv
  42. A Noether-Deuring theorem for derived categories preprint (2011) 6 pages; dvi pdf arXiv
  43. Representation theory; a homological point of view; book in preparation.
  44. with Steffen König: Polynomial functors of prime degree are modules over a Green order, manuscript in preparation.

    Education, local reports

  45. Effet d'une équivalence dérivée sur une algèbre Ext. Proceedings of the Séminaire Itinérant des Catégories dvi pdf
  46. Sur les représentations des ordres et des groupes , (1998) 17 pages, in Actes des ''Journées Mathématiques-Informatique'' Vol. 7. dvi pdf
  47. Green correspondence and structure of blocks with cyclic defect groups, dans: K. W. Roggenkamp, M. Stefanescu (eds.), 'Proceedings of the Workshop in Representation theory', Constantza 1995, An. St. Univ. Ovidius Constantza, Vol. 4 (1996), f.1, pages 24--73. dvi pdf
  48. Sur les foncteurs polynomiaux (2004) 4 pages, in Actes du Séminaire itinérant des catégories dvi pdf

To Klaus Roggenkamp's sixtieth birthday

with Steffen König a laudatio dvi pdf