Endomorphism algebras of exceptional sequences over path algebras of type $\widetilde{\sym A}_{n}$

• Autorzy: Ibrahim Assem , Yingbo Zhang
• Języki publikacji: EN

Słowa kluczowe

EN

gentle algebras; exceptional sequences and their endomorphism algebras; tilted algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 77
• Numer: 2
• Strony: 271-292

Daty

wydano

1998

otrzymano

1997-04-28

poprawiono

1997-06-17

poprawiono

1997-12-29

Twórcy

autor

Ibrahim Assem

• Département de mathématiques et d'informatique, Faculté des sciences, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1

autor

Yingbo Zhang

• Department of Mathematics, Beijing Normal University, Beijing 100875, China

Bibliografia

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• [AS] I. Assem and Skowroński, A.: Iterated tilted algebras of type $\widetilde\sym A_n$, Math. Z. 195 (1987), 269-290.
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• [DR] V. Dlab and Ringel, C. M.: Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 173 (1976).
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• [M] Meltzer, H.: Exceptional sequences and tilting complexes for hereditary algebras of type $\sym A_n$, preprint, 1996.
• [R1] Ringel, C. M.: Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
• [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.
• [R] Roldán, O.: Tilted algebras of type n, $\widetilde\sym B_n$, $\widetilde\sym C_n$ and $\widetilde\sym B\sym C_n$, Ph.D. thesis, Carleton Univ., 1983.
• [Y] Yao, H.: Endomorphism algebras of exceptional sequences of type $\sym A_n$, Algebra Colloq. 3 (1996), 25-32.