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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 509, Pages 89–98 (Mi znsl7181)  
Two relations for the antisymmetrizer in the Hecke algebra

A. G. Bytskoab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b University of Geneva
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Abstract: We prove two relations for the antisymmetrizer in the Hecke algebra and derive certain restrictions imposed by these relations on unitary representations of the Hecke algebra on tensor powers of the space ${\mathbb C}^n$.
Key words and phrases: Hecke algebra, antisymmetrizer, unitary representation on the tensor space.
Funding agency Grant number
Swiss National Science Foundation
Received: 20.11.2021
Document Type: Article
UDC: 517
Language: Russian
Citation: A. G. Bytsko, “Two relations for the antisymmetrizer in the Hecke algebra”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 89–98
Citation in format AMSBIB
\Bibitem{Byt21}
\by A.~G.~Bytsko
\paper Two relations for the antisymmetrizer in the Hecke algebra
\inbook Questions of quantum field theory and statistical physics. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 509
\pages 89--98
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7181}
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