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Chebyshevskii Sbornik, 2021, Volume 22, Issue 1, Pages 273–291
DOI: https://doi.org/10.22405/2226-8383-2018-22-1-273-291 (Mi cheb1001) 		 
Weak Faddeev–Takhtajan–Volkov algebras. Lattice $W_n$ algebras

F. Razavinia

Moscow Institute of Physics and Technology (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-22-1-273-291
Abstract: In this paper, we will start by deliberating at our project's historical general view and then we will try to construct a new Poisson bracket on our simplest example $sl_2$ and then we will try to give a universal construction based on our universal variables and then will try to construct lattice $W_2$ algebras which will play a key role in our other constructions on lattice $W_3$ algebras and finally we will try to find the only nontrivial dependent generator of our lattice $W_4$ algebras and so on for lattice $W_n$ algebras.
Keywords: Lattice $W$ algebras, quantum groups, Feigin's homomorphisms.
Funding agency Grant number
Russian Science Foundation 17-11-01377
Received: 11.07.2020
Accepted: 21.02.2021
Document Type: Article
UDC: 517.958:530.145
Language: English
Citation: F. Razavinia, “Weak Faddeev–Takhtajan–Volkov algebras. Lattice $W_n$ algebras”, Chebyshevskii Sb., 22:1 (2021), 273–291
Citation in format AMSBIB
\Bibitem{Raz21}
\by F.~Razavinia
\paper Weak Faddeev--Takhtajan--Volkov algebras. Lattice $W_n$ algebras
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 1
\pages 273--291
\mathnet{http://mi.mathnet.ru/cheb1001}
\crossref{https://doi.org/10.22405/2226-8383-2018-22-1-273-291}
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