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Character measure is a probability measure on irreducible representations ofa semisimple Lie algebra. It appears from the decomposition into irreduciblesof tensor power of a fundamental representation. In this paper we calculate theasymptotics of character measure on representations of so(2n+1) in the regimenear the boundary of weight diagram. We find out that it converges to aPoisson-type distribution.

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