V. Tolstoy

activity

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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math.QA2000★ 13 cited

Q-power function over Q-commuting variables and deformed XXX, XXZ chains

S. Khoroshkin, A. Stolin, V. Tolstoy

We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum a…

math.QA2000

Unified description of quantum affine (super)algebras U_q(A_{1}^{(1)}) and U_q(C(2)^{(2)})

S. M. Khoroshkin, J. Lukierski, V. N. Tolstoy

We show that the quantum affine algebra U_{q}(A_{1}^{(1)}) and the quantum affine superalgebra U_{q}(C(2)^{(2)}) admit unified description. The difference between them consists in…

math.QA2000★ 7 cited

Quantum Affine (Super)Algebras $U_{q} (A_{1}^{(1)})$ and $U_{q} (C (2)^{(2)})$

S. M. Khoroshkin, J. Lukierski, V. N. Tolstoy

We show that the quantum affine algebra $U_{q} (A_{1}^{(1)})$ and the quantum affine superalgebra $U_{q} (C (2)^{(2)})$ admit a unified description. The difference between them consis…

Q-power function over Q-commuting variables and deformed XXX, XXZ chains

Unified description of quantum affine (super)algebras U_q(A_{1}^{(1)}) and U_q(C(2)^{(2)})

Quantum Affine (Super)Algebras Uq​(A1(1)​) and Uq​(C(2)(2))

Quantum Affine (Super)Algebras $U_{q} (A_{1}^{(1)})$ and $U_{q} (C (2)^{(2)})$