Structure of the tensor product semigroup
Representation Theory
2007-05-23 v1 Group Theory
Abstract
We study structure of the semigroup Tens(G) consisting of triples of dominant weights (\lambda,\mu,\nu) of a complex reductive Lie group G such that the triple tensor product of the corresponding irreducible representations of G has a nonzero G-invariant vector. We prove two general structural results for Tens(G) and give an explicit computation of Tens(G) for G=Sp(4,C) and G=G_2.
Cite
@article{arxiv.math/0508186,
title = {Structure of the tensor product semigroup},
author = {Michael Kapovich and John J. Millson},
journal= {arXiv preprint arXiv:math/0508186},
year = {2007}
}
Comments
46 pages