Locations of modules for Brauer tree algebras

Frauke M Bleher; Ted Chinburg

doi:10.1016/S0022-4049(01)00069-X

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Locations of modules for Brauer tree algebras

Journal article

Open access

Peer reviewed

Locations of modules for Brauer tree algebras

Frauke M Bleher and Ted Chinburg

Journal of pure and applied algebra, Vol.169(2-3), pp.109-135

2002

DOI: 10.1016/S0022-4049(01)00069-X

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Abstract

Suppose Λ is a Brauer tree algebra. We determine the location of a Λ -module M in the stable Auslander–Reiten quiver of Λ 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 Λ . These walks have applications to determining universal deformation rings and stable homomorphism groups.

Details

Title: Subtitle: Locations of modules for Brauer tree algebras
Creators: Frauke M Bleher
Ted Chinburg
Resource Type: Journal article
Publication Details: Journal of pure and applied algebra, Vol.169(2-3), pp.109-135
DOI: 10.1016/S0022-4049(01)00069-X
ISSN: 0022-4049
eISSN: 1873-1376
Language: English
Date published: 2002
Academic Unit: Mathematics
Record Identifier: 9983985967202771

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