The Steinberg quotient of a tilting character
Representation Theory
2020-02-06 v3
Abstract
Let be a simple algebraic group over an algebraically closed field of prime characteristic. If is a finite dimensional -module that is projective over the Frobenius kernel of , then its character is divisible by the character of the Steinberg module. In this paper we study such quotients, showing that if is an indecomposable tilting module, then the multiplicities of the orbit sums appearing in its "Steinberg quotient" are well behaved.
Keywords
Cite
@article{arxiv.1912.11132,
title = {The Steinberg quotient of a tilting character},
author = {Paul Sobaje},
journal= {arXiv preprint arXiv:1912.11132},
year = {2020}
}
Comments
further explanation is given relating this paper to existing literature, final section has also been revised completely, more typos have been corrected and other minor errors