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Iterative Construction of U <sub> q </sub>( s ℓ( n+1)) Representations and Lax Matrix Factorisation.
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- Letters in Mathematical Physics, 2008, v. 85, n. 2/3, p. 221, doi. 10.1007/s11005-008-0268-1
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Elliptic hypergeometric function and -symbols for the group.
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- Theoretical & Mathematical Physics, 2022, v. 213, n. 1, p. 1406, doi. 10.1134/S0040577922100087
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- Article
The 6j-Symbols for the SL(2, ℂ) Group.
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- Theoretical & Mathematical Physics, 2019, v. 198, n. 1, p. 29, doi. 10.1134/S0040577919010033
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Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL( n,ℂ)-invariant spin chain.
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- Theoretical & Mathematical Physics, 2016, v. 189, n. 2, p. 1529, doi. 10.1134/S0040577916110015
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Finite-dimensional representations of the elliptic modular double.
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- Theoretical & Mathematical Physics, 2015, v. 183, n. 2, p. 597, doi. 10.1007/s11232-015-0284-0
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- Article
Matrix Factorization for Solutions of the Yang-Baxter Equation.
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- Journal of Mathematical Sciences, 2016, v. 213, n. 5, p. 723, doi. 10.1007/s10958-016-2734-0
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- Article
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles.
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- Journal of High Energy Physics, 2023, v. 2023, n. 6, p. 1, doi. 10.1007/JHEP06(2023)059
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- Article
Baxter Q-Operators in Ruijsenaars–Sutherland Hyperbolic Systems: One- and Two-Particle Cases.
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- Journal of Mathematical Sciences, 2024, v. 284, n. 5, p. 604, doi. 10.1007/s10958-024-07375-8
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Regular Representation of the Group GL(N, ℝ): Factorization, Casimir Operators and Toda Chain.
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- Journal of Mathematical Sciences, 2022, v. 264, n. 3, p. 215, doi. 10.1007/s10958-022-05993-8
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Completeness of the 3j-Symbols for the Group SL(2, ℂ).
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- Journal of Mathematical Sciences, 2021, v. 257, n. 4, p. 450, doi. 10.1007/s10958-021-05493-1
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Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator.
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- Journal of Mathematical Sciences, 2019, v. 242, n. 5, p. 658, doi. 10.1007/s10958-019-04505-5
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The Q-Operator for the Quantum NLS Model.
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- Journal of Mathematical Sciences, 2019, v. 242, n. 5, p. 608, doi. 10.1007/s10958-019-04500-w
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New Elliptic Solutions of the Yang-Baxter Equation.
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- Communications in Mathematical Physics, 2016, v. 345, n. 2, p. 507, doi. 10.1007/s00220-016-2590-2
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- Article
The green function in the quantum coulomb problem.
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- Journal of Mathematical Sciences, 2010, v. 168, n. 6, p. 856, doi. 10.1007/s10958-010-0033-8
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Factorization of the $$ \mathcal{R} $$ -matrix for the quantum algebra U <sub> q </sub>( sℓ<sub>3</sub>).
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- Journal of Mathematical Sciences, 2008, v. 151, n. 2, p. 2848, doi. 10.1007/s10958-008-9005-7
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Factorization of the R-matrix and Baxter's Q-operator.
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- Journal of Mathematical Sciences, 2008, v. 151, n. 2, p. 2880, doi. 10.1007/s10958-008-9010-x
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- Article