ArticleOriginal scientific text

Title

Auslander-Reiten components for concealed-canonical algebras

Authors 1

Affiliations

  1. Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik, 09107 Chemnitz, Germany

Bibliography

  1. W. Geigle and H. Lenzing, A class of weighted projective curves arising in representation theory of finite dimensional algebras, in: Singularities, Representations of Algebras, and Vector Bundles, Lecture Notes in Math. 1273, Springer, 1987, 265-297.
  2. W. Geigle and H. Lenzing, - Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343.
  3. D. Happel, I. Reiten and S. Smalο, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 575 (1996).
  4. D. Happel and C. M. Ringel, Tilted algebras, Trans. Amer. Math. Soc. 274 (1982), 399-443.
  5. M. Hoshino, On splitting torsion theories induced by tilting modules, Comm. Algebra 11 (1983), 493-500.
  6. T. Hübner and H. Lenzing, Categories perpendicular to exceptional bundles, preprint, 1993.
  7. O. Kerner, Tilting wild algebras, J. London Math. Soc. 39 (1989), 29-47.
  8. O. Kerner, Stable components of wild tilted algebras, J. Algebra 142 (1991), 37-57.
  9. H. Lenzing and H. Meltzer, Sheaves on a weighted projective line of genus one and representations of a tubular algebra, in: Representations of Algebras, Sixth International Conference, Ottawa 1992, CMS Conf. Proc. 14, 1993, 317-337.
  10. H. Lenzing and H. Meltzer, Tilting sheaves and concealed-canonical algebras, in: Proceedings of the Seventh International Conference on Representations of Algebras, Cocoyoc, Mexico, 1994, CMS Conf. Proc. 18, 1996, 455-473.
  11. H. Lenzing and J. A. de la Pe na, Wild canonical algebras, Math. Z., to appear.
  12. C. M. Ringel, Finite dimensional algebras of wild representation type, Math. Z. 161 (1978), 235-255.
  13. C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
  14. H. Strauss, On the perpendicular category of a partial tilting module, J. Algebra 144 (1991), 43-66.
Pages:
183-202
Main language of publication
English
Received
1995-11-15
Published
1996
Exact and natural sciences