The symmetry, period and Calabi-Yau dimension of finite dimensional mesh algebras

被引：3

作者：

Andreu Juan, Estefania ^{[1
]}

Saorin, Manuel ^{[1
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

来源：

JOURNAL OF ALGEBRA | 2015年 / 429卷

关键词：

Dynkin quiver; Mesh algebra; Nakayama automorphism; Periodic algebra; Calabi-Yau triangulated category; SELF-INJECTIVE ALGEBRAS; HOCHSCHILD COHOMOLOGY; RESOLUTIONS;

D O I：

10.1016/j.jalgebra.2015.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Within the class of finite dimensional mesh algebras, we identify those which are symmetric and those whose stable module category is Calabi-Yau. We also give, in combinatorial terms, explicit formulas for the ohm-period of any such algebra, where ohm is the syzygy functor, and for the Calabi-Yau Frobenius and the stable Calabi-Yau dimensions, when they are defined. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：19 / 74

页数：56

共 27 条

[1] ON THE STRUCTURE OF TRIANGULATED CATEGORIES WITH FINITELY MANY INDECOMPOSABLES
Amiot, Claire
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2007, 135 (03): : 435 - 474
[2] Anderson F. W., 1992, Grad. Texts in Math
[3] [Anonymous], 2007, COLLOQ MATH-WARSAW, DOI DOI 10.4064/CM109-2-8
[4] The derived equivalence classification of representation-finite selfinjective algebras
Asashiba, H
[J]. JOURNAL OF ALGEBRA, 1999, 214 (01) : 182 - 221
[5] A generalization of Gabriel's Galois covering functors and derived equivalences
Asashiba, Hideto
[J]. JOURNAL OF ALGEBRA, 2011, 334 (01) : 109 - 149
[6] Auslander M., 1995, CAMBRIDGE STUDIES AD, V36
[7] Deformed preprojective algebras of generalized Dynkin type
Bialkowski, Jerzy
Erdmann, Karin
Skowronski, Andrzej
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (06) : 2625 - 2650
[8] Periodic algebras which are almost Koszul
Brenner, S
Butler, MCR
King, AD
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2002, 5 (04) : 331 - 367
[9] SELF-INJECTIVE AND SIMPLY CONNECTED ALGEBRAS
BRETSCHER, O
LASER, C
RIEDTMANN, C
[J]. MANUSCRIPTA MATHEMATICA, 1981, 36 (03) : 253 - 307
[10] Skew category, galois covering and smash product of a k-category
Cibils, C
Marcos, EN
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (01) : 39 - 50

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