论文标题

SO(2N+1)的张量电源分解边界附近的概率度量

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

论文作者

Nazarov, Anton, Chizhikova, Viktoria

论文摘要

字符度量是半圣代数的不可约表示的概率度量。它从分解为基本代表的张量功能的不可值。在本文中,我们计算了在权重图边界附近的SO(2n+1)表示(2N+1)的表示形式上的渐近度。我们发现它会收敛到泊松型分布。

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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