Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps
Representation Theory
2020-08-05 v2
Abstract
We generalize the Alvis-Curtis duality to the abstract representations of reductive groups with Frobenius maps. Similar to the case of representations of finite reductive groups, we show that the Alvis-Curtis duality of infinite type which we define in this paper also interchanges the irreducible representations in the principal representation category.
Keywords
Cite
@article{arxiv.1907.04515,
title = {Alvis-Curtis Duality for Representations of Reductive Groups with Frobenius Maps},
author = {Junbin Dong},
journal= {arXiv preprint arXiv:1907.04515},
year = {2020}
}
Comments
9 pages, accepted by Forum Mathematicum