Probability measure near the boundary of tensor power decomposition for so(2n+1)
Representation Theory
2020-09-30 v1 Probability
Abstract
Character measure is a probability measure on irreducible representations of a semisimple Lie algebra. It appears from the decomposition into irreducibles of tensor power of a fundamental representation. In this paper we calculate the asymptotics of character measure on representations of so(2n+1) in the regime near the boundary of weight diagram. We find out that it converges to a Poisson-type distribution.
Keywords
Cite
@article{arxiv.2009.13555,
title = {Probability measure near the boundary of tensor power decomposition for so(2n+1)},
author = {Anton Nazarov and Viktoria Chizhikova},
journal= {arXiv preprint arXiv:2009.13555},
year = {2020}
}
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7 pages