The Steinberg representation is irreducible

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.

28 pages, major revision, to appear in Duke Math. J

References in corpus (1)

• On the generalized Bykovskii presentation of Steinberg modules

Cited by in corpus (1)

• The decomposition of permutation module for infinite Chevalley groups, II