Universal deformation rings and tame blocks

Frauke M Bleher; Giovanna Llosent; Jennifer B Schaefer

doi:10.1016/j.jalgebra.2014.05.002

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Universal deformation rings and tame blocks

Journal article

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Peer reviewed

Universal deformation rings and tame blocks

Frauke M Bleher, Giovanna Llosent and Jennifer B Schaefer

Journal of algebra, Vol.412, pp.87-106

08/31/2013

DOI: 10.1016/j.jalgebra.2014.05.002

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Abstract

J. Algebra 412 (2014), 87-106 Let k be an algebraically closed field of positive characteristic, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group and B is a block of kG of infinite tame representation type. We find all finitely generated kG-modules V that belong to B and whose endomorphism ring is isomorphic to k and determine the universal deformation ring R(G,V) for each of these modules.

Mathematics - Representation Theory

Details

Title: Subtitle: Universal deformation rings and tame blocks
Creators: Frauke M Bleher
Giovanna Llosent
Jennifer B Schaefer
Resource Type: Journal article
Publication Details: Journal of algebra, Vol.412, pp.87-106
DOI: 10.1016/j.jalgebra.2014.05.002
ISSN: 0021-8693
eISSN: 1090-266X
Grant note: name: NSA, award: H98230-11-1-0131
Language: English
Date published: 08/31/2013
Academic Unit: Mathematics
Record Identifier: 9983985818602771

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