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Tensor products of unipotent characters of general linear groups over finite fields

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 Added by Emmanuel Letellier
 Publication date 2012
  fields
and research's language is English




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We study multiplicities of unipotent characters in tensor products of unipotent characters of GL(n,q). We prove that these multiplicities are polynomials in q with non-negative integer coefficients. We study the degree of these polynomials and give a necessary and sufficient condition in terms of the representation theory of symmetric groups for these polynomials to be non-zero.



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