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

2012/04/12 by Letellier, Emmanuel · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1204.2690

Abstract

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.

Cited by

• Kronecker Coefficients and Simultaneous Conjugacy Classes

Related

• Multiplicity of characters of finite reductive groups and Drinfeld doubles
• Saxl conjecture and the tensor square of unipotent characters of GL(n,q)
• Product Expansions of q-Character Polynomials
• Reduction for characters of finite algebra groups
• Multiplicity-free Kronecker products of characters of the symmetric\n groups