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Defining Relations for Minimal Unitary Quantum Affine W-Algebras.
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- Communications in Mathematical Physics, 2024, v. 405, n. 2, p. 1, doi. 10.1007/s00220-023-04902-7
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- Article
Orbifolds of lattice vertex algebras.
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- Japanese Journal of Mathematics, 2023, v. 18, n. 2, p. 169, doi. 10.1007/s11537-023-2249-7
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- Article
Unitarity of Minimal W-Algebras and Their Representations I.
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- Communications in Mathematical Physics, 2023, v. 401, n. 1, p. 79, doi. 10.1007/s00220-023-04637-5
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- Article
On Free Field Realization of Quantum Affine W-Algebras.
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- Communications in Mathematical Physics, 2022, v. 395, n. 2, p. 571, doi. 10.1007/s00220-022-04436-4
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- Article
Invariant Hermitian forms on vertex algebras.
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- Communications in Contemporary Mathematics, 2022, v. 24, n. 5, p. 1, doi. 10.1142/S0219199721500590
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- Article
On Lax operators.
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- Japanese Journal of Mathematics, 2022, v. 17, n. 1, p. 63, doi. 10.1007/s11537-021-2134-1
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- Article
Polynomial Tau-Functions for the Multicomponent KP Hierarchy.
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- Publications of the Research Institute for Mathematical Sciences, 2022, v. 58, n. 1, p. 1, doi. 10.4171/PRIMS/58-1-1
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- Article
Classical and variational Poisson cohomology.
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- Japanese Journal of Mathematics, 2021, v. 16, n. 2, p. 203, doi. 10.1007/s11537-021-2109-2
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- Article
Integrable triples in semisimple Lie algebras.
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- Letters in Mathematical Physics, 2021, v. 111, n. 5, p. 1, doi. 10.1007/s11005-021-01456-4
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- Article
Yangians versus minimal W-algebras: A surprising coincidence.
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- Communications in Contemporary Mathematics, 2021, v. 23, n. 4, p. N.PAG, doi. 10.1142/S0219199720500364
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- Article
Computation of cohomology of vertex algebras.
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- Japanese Journal of Mathematics, 2021, v. 16, n. 1, p. 81, doi. 10.1007/s11537-020-2034-9
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- Article
p̲-reduced Multicomponent KP Hierarchy and Classical W-algebras W(glN,p̲).
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- Communications in Mathematical Physics, 2020, v. 380, n. 2, p. 655, doi. 10.1007/s00220-020-03817-x
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- Article
Chiral Versus Classical Operad.
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- IMRN: International Mathematics Research Notices, 2020, v. 2020, n. 19, p. 6463, doi. 10.1093/imrn/rnz373
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- Article
An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras.
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- IMRN: International Mathematics Research Notices, 2020, v. 2020, n. 13, p. 4103, doi. 10.1093/imrn/rny237
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- Article
Poisson Λ-brackets for Differential–Difference Equations.
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- IMRN: International Mathematics Research Notices, 2020, v. 2020, n. 13, p. 4144, doi. 10.1093/imrn/rny242
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- Article
Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations.
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- Communications in Mathematical Physics, 2019, v. 370, n. 3, p. 1019, doi. 10.1007/s00220-019-03416-5
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- Article
An operadic approach to vertex algebra and Poisson vertex algebra cohomology.
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- Japanese Journal of Mathematics, 2019, v. 14, n. 2, p. 249, doi. 10.1007/s11537-019-1825-3
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- Article
Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions.
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- Japanese Journal of Mathematics, 2018, v. 13, n. 2, p. 235, doi. 10.1007/s11537-018-1803-1
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- Article
Classical Affine W-Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras.
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- Communications in Mathematical Physics, 2018, v. 360, n. 3, p. 851, doi. 10.1007/s00220-018-3142-8
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- Article
Structure of classical (finite and affine) W-algebras.
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- Journal of the European Mathematical Society (EMS Publishing), 2016, v. 18, n. 9, p. 1873, doi. 10.4171/JEMS/632
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- Article
Adler-Gelfand-Dickey Approach to Classical W-Algebras Within the Theory of Poisson Vertex Algebras.
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- IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 21, p. 11186, doi. 10.1093/imrn/rnv017
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- Article
Conformal Embeddings and Simple Current Extensions.
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- IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 14, p. 5229, doi. 10.1093/imrn/rnu092
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- Article
Singular Degree of a Rational Matrix Pseudodifferential Operator.
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- IMRN: International Mathematics Research Notices, 2015, v. 2015, n. 13, p. 5162, doi. 10.1093/imrn/rnu093
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- Article
Classical $${\mathcal{W}}$$W -Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras.
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- Communications in Mathematical Physics, 2013, v. 323, n. 2, p. 663, doi. 10.1007/s00220-013-1785-z
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- Article
Classification of Linearly Compact Simple Rigid Superalgebras.
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- IMRN: International Mathematics Research Notices, 2010, v. 2010, n. 17, p. 3341, doi. 10.1093/imrn/rnp231
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- Article
Lie Conformal Algebra Cohomology and the Variational Complex.
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- Communications in Mathematical Physics, 2009, v. 292, n. 3, p. 667, doi. 10.1007/s00220-009-0886-1
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- Article
SIMPLE JORDAN CONFORMAL SUPERALGEBRAS.
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- Journal of Algebra & Its Applications, 2008, v. 7, n. 4, p. 517, doi. 10.1142/S0219498808002916
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- Article
AUTOMORPHISMS AND FORMS OF SIMPLE INFINITE-DIMENSIONAL LINEARLY COMPACT LIE SUPERALGEBRAS.
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- International Journal of Geometric Methods in Modern Physics, 2006, v. 3, n. 5/6, p. 845, doi. 10.1142/S0219887806001624
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- Article
Freely Generated Vertex Algebras and Non-Linear Lie Conformal Algebras.
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- Communications in Mathematical Physics, 2005, v. 254, n. 3, p. 659, doi. 10.1007/s00220-004-1245-x
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- Article
Solitons in Affine and Permutation Orbifolds.
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- Communications in Mathematical Physics, 2005, v. 253, n. 3, p. 723, doi. 10.1007/s00220-004-1160-1
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- Article
REPRESENTATIONS OF THE EXCEPTIONAL LIE SUPERALGEBRA E(3,6) III:: CLASSIFICATION OF SINGULAR VECTORS.
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- Journal of Algebra & Its Applications, 2005, v. 4, n. 1, p. 15, doi. 10.1142/S0219498805001095
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- Article
Field algebras.
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- IMRN: International Mathematics Research Notices, 2003, v. 2003, n. 3, p. 123, doi. 10.1155/S1073792803204232
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- Article
Complexes of modules over exceptional Lie superalgebras E(3,8) and E(5,10).
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- IMRN: International Mathematics Research Notices, 2002, v. 2002, n. 19, p. 1007, doi. 10.1155/S1073792802112062
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- Article
A differential analog of a theorem of Chevalley.
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- IMRN: International Mathematics Research Notices, 2001, v. 2001, n. 13, p. 703, doi. 10.1155/S1073792801000368
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- Article
REPRESENTATIONS OF QUANTUM GROUPS AT ROOTS OF 1: REDUCTION TO THE EXCEPTIONAL CASE.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 1992, v. 7, p. 141, doi. 10.1142/S0217751X92003756
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- Article