English

Principal series for general linear groups over finite commutative rings

Representation Theory 2020-08-20 v2

Abstract

We construct, for any finite commutative ring RR, a family of representations of the general linear group GLn(R)\mathrm{GL}_n(R) whose intertwining properties mirror those of the principal series for GLn\mathrm{GL}_n over a finite field.

Keywords

Cite

@article{arxiv.1704.05575,
  title  = {Principal series for general linear groups over finite commutative rings},
  author = {Tyrone Crisp and Ehud Meir and Uri Onn},
  journal= {arXiv preprint arXiv:1704.05575},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-22T19:20:52.947Z