The cohomology structure of string algebras

被引：11

作者：

Bustamante, JC ^{[1
]}

机构：

[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 204卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

D O I：

10.1016/j.jpaa.2005.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the graded commutative ring structure of the Hochschild cohomology HH*(A) is trivial in case A is a triangular quadratic string algebra. Moreover, in case A is gentle, the Lie algebra structure on HH*(A) is also trivial. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：616 / 626

页数：11

共 13 条

[1] The fundamental groups of a triangular algebra
Assem, I
delaPena, JA
[J]. COMMUNICATIONS IN ALGEBRA, 1996, 24 (01) : 187 - 208
[2] ITERATED TILTED ALGEBRAS OF TYPE AN
ASSEM, I
SKOWRONSKI, A
[J]. MATHEMATISCHE ZEITSCHRIFT, 1987, 195 (02) : 269 - 290
[3] The alternating syzygy behavior of monomial algebras
Bardzell, MJ
[J]. JOURNAL OF ALGEBRA, 1997, 188 (01) : 69 - 89
[4] COVERING-SPACES IN REPRESENTATION-THEORY
BONGARTZ, K
GABRIEL, P
[J]. INVENTIONES MATHEMATICAE, 1982, 65 (03) : 331 - 378
[5] AUSLANDER-REITEN SEQUENCES WITH FEW MIDDLE TERMS AND APPLICATIONS TO STRING ALGEBRAS
BUTLER, MCR
RINGEL, CM
[J]. COMMUNICATIONS IN ALGEBRA, 1987, 15 (1-2) : 145 - 179
[6] COHOMOLOGY OF INCIDENCE ALGEBRAS AND SIMPLICIAL COMPLEXES
CIBILS, C
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1989, 56 (03) : 221 - 232
[7] CIBILS C, 1998, ALGEBRAS MODULES, V2, P93
[8] ON DEFORMATION OF RINGS + ALGEBRAS
GERSTENHABER, M
[J]. ANNALS OF MATHEMATICS, 1964, 79 (01) : 59 - &
[9] COHOMOLOGY STRUCTURE OF AN ASSOCIATIVE RING
GERSTENHABER, M
[J]. ANNALS OF MATHEMATICS, 1963, 78 (02) : 267 - &
[10] Green Edward L., 2002, REPRESENTATIONS ALGE, VI, P192

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