Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for so2n+1 as n??

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چکیده

We consider the Plancherel measure on irreducible components of tensor powers spinor representation so2n+1. With respect to this measure, probability an is product its multiplicity and dimension, divided by total dimension product. study limit shape highest weight as power N rank n algebra tend infinity with N/n fixed.

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2022

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-022-05778-z