On the stability of tensor product of representations of classical groups

2022/07/12 by Biswas, Dibyendu
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2207.05809

Abstract

From an irreducible representation of GL(n, C) there is a natural way to construct an irreducible representations of GL(n + 1, C) by adding a zero at the end of the highest weight of the irreducible representation of GL(n, C). The paper considers the decomposition of tensor products of irreducible representation of GL(n, C) and of the corresponding irreducible representations of GL(n + 1, C) and proves a stability result about such tensor products. We go on to discuss similar questions for classical groups.

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• Tensor product of irreducible characters of GL₂(\mathbbF_q)
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• The Pieri Rule for GLn Over Finite Fields