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Weak Faddeev–Takhtajan–Volkov algebras. Lattice $W_n$ algebras
F. Razavinia Moscow Institute of Physics and Technology (Moscow)
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.
Received: 11.07.2020 Accepted: 21.02.2021
Citation:
F. Razavinia, “Weak Faddeev–Takhtajan–Volkov algebras. Lattice $W_n$ algebras”, Chebyshevskii Sb., 22:1 (2021), 273–291
Linking options:
https://www.mathnet.ru/eng/cheb1001 https://www.mathnet.ru/eng/cheb/v22/i1/p273
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Abstract page: | 72 | Full-text PDF : | 24 | References: | 12 |
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