Universal deformation rings of modules for algebras of dihedral type of polynomial growth

Frauke M Bleher; Shannon N Talbott

doi:10.1007/s10468-012-9399-2

Back

Universal deformation rings of modules for algebras of dihedral type of polynomial growth

Journal article

Peer reviewed

Universal deformation rings of modules for algebras of dihedral type of polynomial growth

Frauke M Bleher and Shannon N Talbott

Algebras and Representation Theory, Vol.17(1), pp.289-303

09/02/2012

DOI: 10.1007/s10468-012-9399-2

Files and links (1)

url

https://arxiv.org/pdf/1209.0181View

Open Access

Abstract

Alg. Represent. Theory 17 (2014), 289-303 Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski. We describe all finitely generated \Lambda-modules V whose stable endomorphism rings are isomorphic to k and determine their universal deformation rings R(\Lambda,V). We prove that only three isomorphism types occur for R(\Lambda,V): k, k[[t]]/(t^2) and k[[t]].

Mathematics - Representation Theory

Details

Title: Subtitle: Universal deformation rings of modules for algebras of dihedral type of polynomial growth
Creators: Frauke M Bleher
Shannon N Talbott
Resource Type: Journal article
Publication Details: Algebras and Representation Theory, Vol.17(1), pp.289-303
DOI: 10.1007/s10468-012-9399-2
ISSN: 1386-923X
eISSN: 1572-9079
Language: English
Date published: 09/02/2012
Academic Unit: Mathematics
Record Identifier: 9983985801302771

Metrics

26 Record Views

8 Times Cited - Web of Science