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Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers
Book chapter

Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers

Frauke M Bleher
Expository Lectures on Representation Theory, pp.97-112
Contemporary Mathematics, 607, American Mathematical Society
05/28/2013
DOI: 10.1090/conm/607/12084
url
https://arxiv.org/pdf/1305.6539View
Open Access

Abstract

We give an introduction to the deformation theory of linear representations of profinite groups which Mazur initiated in the 1980’s. We then consider the case of representations of finite groups. We show how Brauer’s generalized decomposition numbers can be used in some cases to explicitly determine universal deformation rings.
Mathematics - Representation Theory

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