Lookup NU author(s): Dr David Stewart
This is the authors' accepted manuscript of an article that has been accepted and is due to be published in its final definitive form by Europeon Mathematical Society Publishing House, 2020.
For re-use rights please refer to the publisher's terms and conditions.
We classify the irreducible representations of smooth, connected affine algebraic groups over a field, by tackling the case of pseudo-reductive groups. We reduce the problem of calculating the dimension for pseudo-split pseudo-reductive groups to the split reductive case and the pseudo-split pseudo-reductive commutative case. Moreover, we give the first results on the latter, including a rather complete description of the rank one case.
Author(s): Bate M, Stewart DI
Publication type: Article
Publication status: In Press
Journal: Journal of the European Mathematical Society
Acceptance date: 09/11/2019
Date deposited: 18/11/2019
ISSN (print): 1435-9855
ISSN (electronic): 1435-9863
Publisher: Europeon Mathematical Society Publishing House