TY - JOUR

T1 - Probability Measure Near the Boundary of Tensor Power Decomposition for so2n+1

AU - Nazarov, A. A.

AU - Chizhikova, V. L.

N1 - Nazarov, A.A., Chizhikova, V.L. Probability Measure Near the Boundary of Tensor Power Decomposition for so2n+1. J Math Sci 264, 347–352 (2022). https://doi.org/10.1007/s10958-022-06001-9

PY - 2022/7/8

Y1 - 2022/7/8

N2 - 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 so2n+1 in the regime near the boundary of weight diagram. We find out that it converges to a Poisson-type distribution.

AB - 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 so2n+1 in the regime near the boundary of weight diagram. We find out that it converges to a Poisson-type distribution.

UR - http://www.scopus.com/inward/record.url?scp=85133620425&partnerID=8YFLogxK

U2 - 10.1007/s10958-022-06001-9

DO - 10.1007/s10958-022-06001-9

M3 - Article

AN - SCOPUS:85133620425

VL - 264

SP - 347

EP - 352

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -