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

2013/05/28 by Frauke M. Bleher
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Brauer group #Decomposition #Deformation (meteorology) #Deformation theory #Finite Group Theory Research #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Physics #Profinite group #Pure mathematics #Quantum mechanics #math.RT #msc:16G10 #msc:20C15 #msc:20C20

paper · pdf · doi:10.1090/conm/607/12084

published as Contemp. Math., 607, Amer. Math. Soc., Providence, RI, 2014, pp. 97-112 · 15 pages

arxiv created 2013/05/28 · openalex publication_date 2014/01/01 · arxiv updated 2014/03/06 · openalex created_date 2017/06/15 · openalex updated_date 2026/08/05

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.

Citations

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