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On statistics of irreducible components in large tensor products of modules over simple Lie algebras

Nicolai Reshetikhin
(UC Berkeley)
Mandag, 26 november, 2018, at 15:45-16:45, in Aud. D3 (1531-215)

Let $V_1,\dots, V_k$ be finite dimensional $\mathfrak g$-modules where $\mathfrak g$ is a finite dimensional Lie algebra and $N_1,\dots, N_k$ are positive integers. In the talk the asymptotical behavior of multiplicities of irreducible representations will be computed in the limit $N_i\to \infty$ with $N_1:\dots: N_k$ being finite. As a consequence the asymptotical probability distribution 

of irreducible representations with respect to the Plancherel and other natural probability measures will be established.

Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen