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

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.

15 pages

References in corpus (4)

• Deformation rings and Hecke algebras in the totally real case
• Universal deformation rings and dihedral defect groups
• Universal deformation rings and generalized quaternion defect groups
• Brauer's generalized decomposition numbers and universal deformation rings

Cited by in corpus (1)

• A necessary condition for characteristic zero universal deformation rings of finite group representations