Search Results - "Molev, A. I."

Feigin–Frenkel center in types B, C and D by Molev, A. I.

“…For each simple Lie algebra consider the corresponding affine vertex algebra at the critical level. The center of this vertex algebra is a commutative…”
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A Drinfeld-Type Presentation of the Orthosymplectic Yangians by Molev, A. I.

“…We use the Gauss decomposition of the generator matrix in the R -matrix presentation of the Yangian for the orthosymplectic Lie superalgebra osp N | 2 m to…”
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Representations of the Yangians Associated with Lie Superalgebras osp(1|2n) by Molev, A. I.

“…We give a complete description of the finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras osp…”
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Odd reflections in the Yangian associated with gl(m|n) by Molev, A. I.

“…The odd reflections are an effective tool in the Lie superalgebra representation theory, as they relate non-conjugate Borel subalgebras. We introduce analogues…”
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On Segal–Sugawara vectors and Casimir elements for classical Lie algebras by Molev, A. I.

“…We consider the centers of the affine vertex algebras at the critical level associated with simple Lie algebras. We derive new formulas for generators of the…”
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Classical W-algebras for Centralizers by Molev, A. I., Ragoucy, E.

“…We introduce a new family of Poisson vertex algebras W ( a ) analogous to the classical W -algebras. The algebra W ( a ) is associated with the centralizer a…”
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Classical W-Algebras in Types A, B, C, D and G by Molev, A. I., Ragoucy, E.

“…We produce explicit generators of the classical W -algebras associated with the principal nilpotents in the simple Lie algebras of all classical types and in…”
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Input Data to Match Model and Prototype States of VVER NPP by Molev, I. A., Solovyev, D. A., Lobarev, A. L., Plotnikov, D. A., Tahash, Kh. A., Chernov, E. V.

“…Possible input data of a NPP power unit model for matching model states with prototype states are considered. The most important parameter used to match the…”
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Eigenvalues of Bethe vectors in the Gaudin model by Molev, A. I., Mukhin, E. E.

“…According to the Feigin–Frenkel–Reshetikhin theorem, the eigenvalues of higher Gaudin Hamiltonians on Bethe vectors can be found using the center of an affine…”
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Input data to match model and prototype states of WWER NPP by Molev, I. A., Solovyev, D. A., Lobarev, A. L., Plotnikov, D. A., Tahash, H. A., Chernov, E. V.

“…The paper considers some possible input data of NPP power unit model for solving the problem of model state matching with prototype state. In the course of…”
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Irreducibility criterion for tensor products of Yangian evaluation modules by Molev, A. I.

“…The evaluation homomorphisms from the Yangian ${\rm Y}(\mathfrak {gl}\sb n)$ to the universal enveloping algebra ${\rm U}(\mathfrak {gl}\sb n)$ allow one to…”
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A Drinfeld-type presentation of the orthosymplectic Yangians by Molev, A. I

“…Algebr Represent Theor 27, 469-494 (2024) We use the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the Yangian for the…”
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Representations of the Yangians Associated with Lie Superalgebras $$\mathfrak {osp}(1|2n) by Molev, A. I.

“…We give a complete description of the finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras…”
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Yangians and transvector algebras by Molev, A.I.

“…We give a quantum analog of Sylvester's theorem where numerical matrices are replaced with noncommutative matrices whose entries are generators of the Yangian…”
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Odd reflections in the Yangian associated with ${\frak gl}(m|n) by Molev, A. I

“…Lett. Math. Phys. 112 (2022), no. 1, Paper No. 8, 15 pp The odd reflections are an effective tool in the Lie superalgebra representation theory, as they relate…”
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Representations of the Yangians associated with Lie superalgebras ${\frak{osp}}(1|2n) by Molev, A. I

“…Commun. Math. Phys. 398 (2023), 541-571 We classify the finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie…”
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Representations of the orthosymplectic Yangian by Molev, A. I

“…We give a complete description of the finite-dimensional irreducible representations of the Yangian associated with the orthosymplectic Lie superalgebra…”
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Casimir elements and Sugawara operators for Takiff algebras by Molev, A. I

“…J. Math. Phys. 62 (2021), 011701, no. 1, 13pp For every simple Lie algebra $\mathfrak{g}$ we consider the associated Takiff algebra $\mathfrak{g}^{}_{\ell}$…”
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On Segal--Sugawara vectors and Casimir elements for classical Lie algebras by Molev, A. I

“…Lett. Math. Phys. 111 (2021), no. 1, Paper No. 8, 23 pp We consider the centers of the affine vertex algebras at the critical level associated with simple Lie…”
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Center at the critical level for centralizers in type $A by Molev, A. I

“…J. Algebra 566 (2021), 163-186 We consider the affine vertex algebra at the critical level associated with the centralizer of a nilpotent element in the Lie…”
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