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math.RT2020
Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so(2n+1)
Anton Nazarov, Pavel Nikitin, Olga Postnova
We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so(2n+1). The irreducible representations correspond to the generalize…
math.RT2020
Probability measure near the boundary of tensor power decomposition for so(2n+1)
Anton Nazarov, Viktoria Chizhikova
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 fund…