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Lookup NU author(s): Dr David StewartORCiD
This is the authors' accepted manuscript of a working paper that has been published in its final definitive form by arXiv, 2019.
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: Working Paper
Publication status: Published
Journal: arXiv
Year: 2019
Publisher: arXiv
URL: https://arxiv.org/abs/1712.04370
Notes: Accepted for publication in the Journal of the European Mathematical Society: https://www.ems-ph.org/journals/forthcoming.php?jrn=jems
