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Irreducible modules for pseudo-reductive groups

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 نشر من قبل David Stewart
 تاريخ النشر 2017
  مجال البحث
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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.



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