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On Free Field Realization of Quantum Affine W-Algebras

Communications in mathematical physics, 2022, Vol.395 (2), p.571-600

2022

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Classical Affine W-Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras

Communications in mathematical physics, 2018-06, Vol.360 (3), p.851-918

2018

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Unitarity of Minimal W-Algebras and Their Representations I

Communications in mathematical physics, 2023-07, Vol.401 (1), p.79-145

2023

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A New Scheme of Integrability for (bi)Hamiltonian PDE

Communications in mathematical physics, 2016-10, Vol.347 (2), p.449-488

2016

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Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

Japanese journal of mathematics, 2018-09, Vol.13 (2), p.235-271

2018

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Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations

Communications in mathematical physics, 2019-09, Vol.370 (3), p.1019-1068

2019

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Defining Relations for Minimal Unitary Quantum Affine W-Algebras

Communications in mathematical physics, 2024-02, Vol.405 (2), Article 33

2024

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Finite vs. Infinite Decompositions in Conformal Embeddings

Communications in mathematical physics, 2016-12, Vol.348 (2), p.445-473

2016

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Normal forms of nilpotent elements in semisimple Lie algebras

Indagationes mathematicae, 2021-12, Vol.32 (6), p.1311-1331

2021

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Lie Groups, Geometry, and Representation Theory: A Tribute to the Life and Work of Bertram Kostant

1st ed. 2018., 2018

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Computation of cohomology of Lie conformal and Poisson vertex algebras

Selecta mathematica (Basel, Switzerland), 2020-09, Vol.26 (4), Article 50

2020

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Polynomial Tau-Functions for the Multicomponent KP Hierarchy

Publications of the Research Institute for Mathematical Sciences, 2022-01, Vol.58 (1), p.1-19

2022

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Orbifolds of lattice vertex algebras

Japanese journal of mathematics, 2023-09, Vol.18 (2), p.169-274

2023

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Polynomial Tau-Functions of the n-th Sawada–Kotera Hierarchy

Mathematics (Basel), 2024-03, Vol.12 (5), p.681

2024

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p̲-reduced Multicomponent KP Hierarchy and Classical W-algebras W(glN,p̲)

Communications in mathematical physics, 2020, Vol.380 (2), p.655-722

2020

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Introduction to Vertex Algebras, Poisson Vertex Algebras, and Integrable Hamiltonian PDE

Perspectives in Lie Theory, p.3-72

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Integrable triples in semisimple Lie algebras

Letters in mathematical physics, 2021-10, Vol.111 (5), Article 117

2021

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An operadic approach to vertex algebra and Poisson vertex algebra cohomology

Japanese journal of mathematics, 2019-09, Vol.14 (2), p.249-342

2019

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On Lax operators

Japanese journal of mathematics, 2022-02, Vol.17 (1), p.63-116

2022

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A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS

Transformation groups, 2017-12, Vol.22 (4), p.979-1004

2017

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A Lax type operator for quantum finite W-algebras

Selecta mathematica (Basel, Switzerland), 2018-11, Vol.24 (5), p.4617-4657

2018

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Computation of cohomology of vertex algebras

Japanese journal of mathematics, 2021-01, Vol.16 (1), p.81-154

2021

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INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS

Transformation groups, 2021-06, Vol.26 (2), p.479-500

2021

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Classical and variational Poisson cohomology

Japanese journal of mathematics, 2021-11, Vol.16 (2), p.203-246

2021

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On complete reducibility for infinite-dimensional Lie algebras

Advances in mathematics (New York. 1965), 2011-01, Vol.226 (2), p.1911-1972

2011

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On Free Field Realization of Quantum Affine W-Algebras

Classical Affine W-Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras

Unitarity of Minimal W-Algebras and Their Representations I

A New Scheme of Integrability for (bi)Hamiltonian PDE

Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions

Local and Non-local Multiplicative Poisson Vertex Algebras and Differential-Difference Equations

Defining Relations for Minimal Unitary Quantum Affine W-Algebras

Finite vs. Infinite Decompositions in Conformal Embeddings

Normal forms of nilpotent elements in semisimple Lie algebras

Lie Groups, Geometry, and Representation Theory: A Tribute to the Life and Work of Bertram Kostant

Computation of cohomology of Lie conformal and Poisson vertex algebras

Polynomial Tau-Functions for the Multicomponent KP Hierarchy

Orbifolds of lattice vertex algebras

Polynomial Tau-Functions of the n-th Sawada–Kotera Hierarchy

p̲-reduced Multicomponent KP Hierarchy and Classical W-algebras W(glN,p̲)

Introduction to Vertex Algebras, Poisson Vertex Algebras, and Integrable Hamiltonian PDE

Integrable triples in semisimple Lie algebras

An operadic approach to vertex algebra and Poisson vertex algebra cohomology

On Lax operators

A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS

A Lax type operator for quantum finite W-algebras

Computation of cohomology of vertex algebras

INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS

Classical and variational Poisson cohomology

On complete reducibility for infinite-dimensional Lie algebras

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