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

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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.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    A. A. Nazarov & V. L. Chizhikova

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  1. A. A. Nazarov
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  2. V. L. Chizhikova
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Correspondence to A. A. Nazarov.

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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 494, 2020, pp. 219–227.

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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

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  • DOI: https://doi.org/10.1007/s10958-022-06001-9

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