The Steinberg representation is irreducible
Representation Theory
2023-04-04 v3 Group Theory
Abstract
We prove that the Steinberg representation of a connected reductive group over an infinite field is irreducible. For finite fields, this is a classical theorem of Steinberg and Curtis.
Cite
@article{arxiv.2107.00794,
title = {The Steinberg representation is irreducible},
author = {Andrew Putman and Andrew Snowden},
journal= {arXiv preprint arXiv:2107.00794},
year = {2023}
}
Comments
28 pages, major revision, to appear in Duke Math. J