Finite \(W\)-algebras for \(\mathfrak{gl}_N\)

DOI10.1016/j.aim.2017.06.016zbMath1398.17007arXiv1605.02898OpenAlexW2371159963MaRDI QIDQ1701008

Victor G. Kac, Daniele Valeri, Alberto De Sole

Publication date: 22 February 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02898

zbMATH Keywords

Rees algebraYangianquasideterminantfinite \(W\)-algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Graded Lie (super)algebras (17B70)

Related Items

A Lax type operator for quantum finite \(W\)-algebras, Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies, Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras, Generators of the quantum finite W-algebras in type A, Classical and Quantum $${\mathcal {W}}$$-Algebras and Applications to Hamiltonian Equations, W-Algebras via Lax Type Operators

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