English

Brauer's generalized decomposition numbers and universal deformation rings

Group Theory 2015-02-24 v2

Abstract

The versal deformation ring R(G,V) of a mod p representation V of a profinite group G encodes all isomorphism classes of lifts of V to representations of G over complete local commutative Noetherian rings. We introduce a new technique for determining R(G,V) when G is finite which involves Brauer's generalized decomposition numbers.

Keywords

Cite

@article{arxiv.1204.0071,
  title  = {Brauer's generalized decomposition numbers and universal deformation rings},
  author = {Frauke M. Bleher},
  journal= {arXiv preprint arXiv:1204.0071},
  year   = {2015}
}

Comments

28 pages, 18 figures

R2 v1 2026-06-21T20:42:46.066Z