English

Supercharacter theories for algebra group extensions

Representation Theory 2018-08-29 v1

Abstract

We construct a few supercharacter theories for finite semidirect products with the normal subgroup of algebra group type. In the case of algebra groups, these supercharacter theories coincide with the one of P.Diaconis and I.M.Isaaks. For the parabolic subgroups of GL(n)GL(n), the supercharacters and superclasses are classified.

Keywords

Cite

@article{arxiv.1808.09366,
  title  = {Supercharacter theories for algebra group extensions},
  author = {A. N. Panov},
  journal= {arXiv preprint arXiv:1808.09366},
  year   = {2018}
}

Comments

16 pages

R2 v1 2026-06-23T03:46:36.677Z