O. V. Postnova, N. Yu. Reshetikhin, “On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras”, Zap. Nauchn. Sem. POMI, 2021, Volume 509,Pages <nobr>185

On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras

O. V. Postnova^ab, N. Yu. Reshetikhin^cdef

^a Department of Steklov Mathematical Institute, St. Petersburg, Russia
^b Euler International Mathematical Institute, St. Petersburg, Russia
^c Yau Mathematical Sciences Center, Tsinghua University, Beijing
^d Department of Mathematics, University of California, Berkeley, CA
^e Physics Department, St. Petersburg State University
^f KdV Institute for Mathematics, University of Amsterdam

Abstract: The asymptotics of multiplicities of irreducible representations in large tensor products of finite dimensional representations of simple Lie algebras are computed for all, including nongeneric, highest weights.

Key words and phrases: Lie algebras, irreducible representations, tensor power decomposition.

UDC: 517

Received: 02.12.2021

Language: English