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- W2891246586 abstract "We study a probability measure on integral dominant weights in the decomposition of $N$-th tensor power of spinor representation of the Lie algebra $so(2n+1)$. The probability of the dominant weight $lambda$ is defined as the ratio of the dimension of the irreducible component of $lambda$ divided by the total dimension $2^{nN}$ of the tensor power. We prove that as $Nto infty$ the measure weakly converges to the radial part of the $SO(2n+1)$-invariant measure on $so(2n+1)$ induced by the Killing form. Thus, we generalize Kerov's theorem for $su(n)$ to $so(2n+1)$." @default.
- W2891246586 created "2018-09-27" @default.
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- W2891246586 date "2018-09-14" @default.
- W2891246586 modified "2023-09-27" @default.
- W2891246586 title "Limit shape of probability measure on tensor product of $B_n$ algebra modules" @default.
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