Locations of modules for Brauer tree algebras

被引：5
|
作者：
Bleher, FM
Chinburg, T [1 ]
机构：
[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2002年 / 169卷 / 2-3期
关键词：
D O I：
10.1016/S0022-4049(01)00069-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose Lambda is a Brauer tree algebra. We determine the location of a Lambda-module M in the stable Auslander-Reiten quiver of Lambda from the description of M as a multi-pushout of elementary modules. This is done by introducing a new combinatorial object associated to M, which is a certain walk around the Brauer tree of Lambda. These walks have applications to determining universal deformation rings and stable homomorphism groups. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：109 / 135
页数：27
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