Download PDF - Endomorphism algebras of exceptional sequences over path algebras of type $\widetilde{\sym A}_{n}$All rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Endomorphism algebras of exceptional sequences over path algebras of type wsymA~n

Authors 1, 2

Affiliations

  1. Département de mathématiques et d'informatique, Faculté des sciences, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1
  2. Department of Mathematics, Beijing Normal University, Beijing 100875, China

Keywords

ENG
gentle algebras, exceptional sequences and their endomorphism algebras, tilted algebras

Bibliography

  1. [A1] Assem, I.: Tilted algebras of type symAn, Comm. Algebra 10 (1982) 2121- 2139.
  2. [A2] Assem, Tilting theory - an introduction, in: Topics in Algebra, Banach Center Publ. 26, Part 1, PWN, Warszawa, 1990, 127-180.
  3. [AH] I. Assem and Happel, D.: Generalized tilted algebras of type symAn, Comm. Algebra 9 (1981), 2101-2125.
  4. [AS] I. Assem and Skowroński, A.: Iterated tilted algebras of type ws~ymAn, Math. Z. 195 (1987), 269-290.
  5. [ARS] M. Auslander, I. Reiten and Smalο, S. O.: Representation Theory of Artin Algebras, Cambridge Stud. Adv. Math. 36, Cambridge Univ. Press, 1995.
  6. [B] Bondal, A. I.: 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), 23-45.
  7. [BR] M. Butler and Ringel, C. M.: Auslander-Reiten sequences with few middle terms and applications to string algebras, Comm. Algebra 15 (1987), 145-179.
  8. [CB] Crawley-Boevey, W.: Exceptional sequences of representations of quivers, in: Representations of Algebras, Sixth Internat. Conf., Ottawa, 1992, CMS Conf. Proc. 14, Amer. Math. Soc., 1993, 117-124.
  9. [DR] V. Dlab and Ringel, C. M.: Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976).
  10. [GR] A. L. Gorodentsev and Rudakov, A. N.: Exceptional vector bundles on projective spaces, Duke Math. J. 54 (1987), 115-130.
  11. [H] Huard, F.: Tilted gentle algebras, Comm. Algebra 26 (1998), 63-72.
  12. [K] Kerner, O.: Representations of wild quivers, in: Representation Theory of Algebras and Related Topics, Seventh Internat. Conf., Mexico, 1994, CMS Conf. Proc. 19, Amer. Math. Soc., 1996, 65-107.
  13. [M] Meltzer, H.: Exceptional sequences and tilting complexes for hereditary algebras of type symAn, preprint, 1996.
  14. [R1] Ringel, C. M.: Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
  15. [R2] Ringel, C. M.: The braid group action on the set of exceptional sequences of a hereditary artin algebra, in: Abelian Group Theory and Related Topics (Oberwolfach, 1993), Contemp. Math. 171, Amer. Math. Soc., 1994, 339-352.
  16. [R] Roldán, O.: Tilted algebras of type n, ws~ymBn, ws~ymCn and ws~ymBsymCn, Ph.D. thesis, Carleton Univ., 1983.
  17. [Y] Yao, H.: Endomorphism algebras of exceptional sequences of type symAn, Algebra Colloq. 3 (1996), 25-32.
Colloquium Mathematicum
1998/77/2
Export to PBN, Opens in new tab
Pages:
271-292
Main language of publication
English
Received
1997-04-28
Accepted
1997-06-17
Published
1998
Exact and natural sciences