English

Universal deformation rings and tame blocks

Representation Theory 2014-07-15 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1309.0153,
  title  = {Universal deformation rings and tame blocks},
  author = {Frauke M. Bleher and Giovanna Llosent and Jennifer B. Schaefer},
  journal= {arXiv preprint arXiv:1309.0153},
  year   = {2014}
}

Comments

14 pages

R2 v1 2026-06-22T01:18:31.027Z