English

Some Infinite Dimensional Representations of Reductive Groups with Frobenius Maps

Representation Theory 2014-05-06 v3

Abstract

In this paper we construct certain irreducible infinite dimensional representations of algebraic groups with Frobenius maps. In particular, a few classical results of Steinberg and Deligne & Lusztig on complex representations of finite groups of Lie type are extended to reductive algebraic groups with Frobenius maps.

Keywords

Cite

@article{arxiv.1312.1159,
  title  = {Some Infinite Dimensional Representations of Reductive Groups with Frobenius Maps},
  author = {Nanhua Xi},
  journal= {arXiv preprint arXiv:1312.1159},
  year   = {2014}
}

Comments

25 pages

R2 v1 2026-06-22T02:20:37.696Z