ArticleOriginal scientific text

Title

Tubular mutations

Authors 1

Affiliations

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

Bibliography

  1. M. F. Atiyah, Vector bundles over an elliptic curve, Proc. London Math. Soc. 7 (1957), 414-452.
  2. A. A. Beilinson, Coherent sheaves on n and problems of linear algebra, Functional Anal. Appl. 12 (2) (1979), 214-216.
  3. A. I. Bondal, Representations of associative algebras and coherent sheaves, Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989), 25-44 (in Russian); English transl.: Math. USSR-Izv. 34 (1990), 23-42.
  4. J.-M. Drezet, Fibrés exceptionnels et suite spectrale de Beilinson généralisée sur 2(), Math. Ann. 275 (1986), 25-48.
  5. 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.
  6. A. L. Gorodentsev and A. N. Rudakov, Exceptional vector bundles on projective spaces, Duke Math. J. 54 (1987), 115-130.
  7. D. Happel, Triangulated Categories in the Representation Theory of Finite Dimensional Algebras, London Math. Soc. Lecture Note Ser. 119, Cambridge Univ. Press, 1988.
  8. D. Happel and C. M. Ringel, The derived category of a tubular algebra, in: Representation Theory I, Finite Dimensional Algebras, Lecture Notes in Math. 1177, Springer, 1986, 156-180.
  9. S. A. Kuleshov, Construction of bundles on an elliptic curve, in: Helices and Vector Bundles, London Math. Soc. Lecture Note Ser. 148, Cambridge Univ. Press, 1990, 7-22.
  10. H. Lenzing, Representations of finite-dimensional algebras and singularity theory, preprint, 1996.
  11. H. Lenzing and H. Meltzer, Sheaves on a weighted projective line of genus one, and representations over a tubular algebra, in: CMS Conf. Proc. 14, Amer. Math. Soc., 1993, 313-337.
  12. C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
  13. A. N. Rudakov, The Markov numbers and exceptional bundles on ℙ^2, Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), 100-112 (in Russian); English transl.: Math. USSR-Izv. 32 (1989), 99-112.
  14. C. S. Seshadri, Fibrés vectoriels sur les courbes algébriques, Astérisque 96 (1982).
Pages:
267-274
Main language of publication
English
Received
1996-12-12
Accepted
1997-01-28
Published
1998
Exact and natural sciences