On the stability of tensor product of representations of classical groups
Representation Theory
2022-11-18 v2
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.
Keywords
Cite
@article{arxiv.2207.05809,
title = {On the stability of tensor product of representations of classical groups},
author = {Dibyendu Biswas},
journal= {arXiv preprint arXiv:2207.05809},
year = {2022}
}
Comments
This is a revised version of the previous submission in which we prove the result of tensor product decomposition just before stability