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Integrals of motion from quantum toroidal algebras - MaRDI portal

Integrals of motion from quantum toroidal algebras (Q4597589)

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scientific article; zbMATH DE number 6818201

Language	Label	Description	Also known as
English	Integrals of motion from quantum toroidal algebras	scientific article; zbMATH DE number 6818201

Statements

scholarly article

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Integrals of motion from quantum toroidal algebras (English)

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Boris L. Feigin

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Evgenii E. Mukhin

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Journal of Physics A: Mathematical and Theoretical

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publication date

13 December 2017

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full work available at URL

https://arxiv.org/abs/1705.07984

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zbMATH Keywords

Bethe ansatz

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integrals of motion

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quantum toroidal algebras

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transfer matrices

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quantum KdV model

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MaRDI profile type

MaRDI publication profile

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On spectrum of ILW hierarchy in conformal field theory II: coset CFT's

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Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz

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Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation

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Integrable structure of conformal field theory. III: The Yang-Baxter relation

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Spectral determinants for Schrödinger equation and \({\mathbb{Q}}\)-operators of conformal field theory

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Higher-level eigenvalues of \(Q\)-operators and Schrödinger equation

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A commutative algebra on degenerate CP1 and Macdonald polynomials

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Branching rules for quantum toroidal \(\mathfrak{gl}_n\)

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Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz

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Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras

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The integrals of motion for the deformed \(W\)-algebra \(W_{q,t}(\widehat{gl_N})\). II: Proof of the commutation relations

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On spectrum of ILW hierarchy in conformal field theory

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Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)

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A (q,γ) analog of the W1+∞ algebra

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Invariants of the vacuum module associated with the Lie superalgebra ${\mathfrak{gl}}(1| 1)$

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A Generalization of the Capelli Identity

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Bispectral and \((\mathfrak{gl}_{N},\mathfrak{gl}_{M})\) dualities

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Bispectral and \((\mathfrak{gl}_N,\mathfrak{gl}_M)\) dualities, discrete versus differential

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The Shuffle Algebra Revisited

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Quantum toroidal algebras and their vertex representations

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Integral representations of the Macdonald symmetric polynomials

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Toroidal actions on level 1 modules of \(U_q(\widehat{sl}_n)\)

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Identifiers

zbMATH Open document ID

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10.1088/1751-8121/aa8e92

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4597589

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