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arXiv · 2009.13555

Probability measure near the boundary of tensor power decomposition for so(2n+1)

Anton Nazarov·Viktoria Chizhikova
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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.

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Anton Nazarov, Viktoria Chizhikova. 2020-09-28. Probability measure near the boundary of tensor power decomposition for so(2n+1). https://arxiv.org/abs/2009.13555

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