V. Tolstoy

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19942016

most citedTwisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras

64 citations · 361 across the 27 of their papers we have counts for

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q-alg1997

Two-parameter deformation of loop algebras and superalgebras

Valeriy N. Tolstoy

We discuss two-parameter deformations of an universal enveloping algebra $U (g [u])$ of a polynomial loop algebra $g [u]$ , where $g$ is a finite-dimensional complex simple Lie algebra…

q-alg1997

Classical Limit of the Scaled Elliptic Algebra $A_{ℏ, η} (s l_{2})$

S. Khoroshkin, D. Lebedev, S. Pakuliak +2

The classical limit of the scaled elliptic algebra $A_{ℏ, η} (s l_{2})$ is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the…

q-alg1995★ 5 cited

Deformation of Yangian $Y (s l_{2})$

S. M. Khoroshkin, A. A. Stolin, V. N. Tolstoy

A quantization of a non-standard rational solution of CYBE for $s l_{2}$ is given explicitly. We obtain the quantization with the help of a twisting of the usual Yangian $Y (s l_{2}$ . Thi…

Two-parameter deformation of loop algebras and superalgebras

Classical Limit of the Scaled Elliptic Algebra Aℏ,η​(sl2​)

Deformation of Yangian Y(sl2​)

Classical Limit of the Scaled Elliptic Algebra $A_{ℏ, η} (s l_{2})$

Deformation of Yangian $Y (s l_{2})$