Mathematics – Representation Theory
Scientific paper
2012-04-12
Mathematics
Representation Theory
Scientific paper
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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