Geodesic
Weak Faddeev--Takhtajan--Volkov algebras. Lattice $W_n$ algebras
Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 273-291

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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. 
@article{CHEB_2021_22_1_a18,
     author = {F. Razavinia},
     title = {Weak {Faddeev--Takhtajan--Volkov} algebras. {Lattice} $W_n$ algebras},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {273--291},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a18/}
}
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F. Razavinia. Weak Faddeev--Takhtajan--Volkov algebras. Lattice $W_n$ algebras. Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 273-291. http://geodesic.mathdoc.fr/item/CHEB_2021_22_1_a18/