Irreducible modules for pseudo-reductive groups

18 Nov 2019  ·  Bate Michael, Stewart David I. ·

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. read more

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Representation Theory Group Theory