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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 509, Pages 185–200 (Mi znsl7187)  
On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras

O. V. Postnovaab, N. Yu. Reshetikhincdef

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
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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.
Funding agency Grant number
Russian Science Foundation 18-11-00-297
This work was supported by RSF-18-11-00-297.
Received: 02.12.2021
Document Type: Article
UDC: 517
Language: English
Citation: O. V. Postnova, N. Yu. Reshetikhin, “On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 185–200
Citation in format AMSBIB
\Bibitem{PosRes21}
\by O.~V.~Postnova, N.~Yu.~Reshetikhin
\paper On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras
\inbook Questions of quantum field theory and statistical physics. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 509
\pages 185--200
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7187}
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