Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras
type: Item
instance of: scholarly article
title: Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras
zbMATH Open document ID: 1441.17012
author: Tomoyuki Arakawa
author: Alexander Premet
published in: Transactions of the Moscow Mathematical Society
publication date: 2018-08-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1611.00852
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 17B08
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 6929241
zbMATH Keywords: Mishchenko-Fomenko subalgebras
zbMATH Keywords: vertex algebras
zbMATH Keywords: affine \(W\)-algebras
MaRDI profile type: Publication
OpenAlex ID: W2547925618
arXiv ID: 1611.00852
cites work: Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
cites work: A remark on the \(C_2\)-cofiniteness condition on vertex algebras
cites work: Q2887105
cites work: Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
cites work: Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras
cites work: Vertex algebras, Kac-Moody algebras, and the Monster
cites work: Q3682663
cites work: A new interpretation of Gelfand-Tsetlin bases
cites work: Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases
cites work: The index of centralizers of elements of reductive Lie algebras
cites work: The symmetric invariants of centralizers and Slodowy grading
cites work: On Higher-Order Sugawara Operators
cites work: Q5465223
cites work: Q4830310
cites work: AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
cites work: Gaudin models with irregular singularities
cites work: Wakimoto modules, opers and the center at the critical level
cites work: Q4222006
cites work: Quantum reduction for affine superalgebras
cites work: Quantum reduction and representation theory of superconformal algebras
cites work: Lie Group Representations on Polynomial Rings
cites work: Abelianizing vertex algebras
cites work: Q4164072
cites work: Bethe subalgebras in twisted Yangians
cites work: A degree inequality for Lie algebras with a regular Poisson semi-center
cites work: Some amazing properties of spherical nilpotent orbits
cites work: On symmetric invariants of centralisers in reductive Lie algebras
cites work: The argument shift method and maximal commutative subalgebras of Poisson algebras
cites work: Q3987880
cites work: The argument shift method and the Gaudin model
cites work: INVARIANTS OF FINITE GROUP SCHEMES
cites work: The quantum Gaudin system
cites work: On some commutative subalgebras of the universal enveloping algebra of the Lie algebra \({\mathfrak {gl}} (n,\mathbb{C})\)
cites work: Surprising properties of centralisers in classical Lie algebras
cites work: Modular invariance of characters of vertex operator algebras
cites work: ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
DOI: 10.1090/MOSC/264
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description: scientific article; zbMATH DE number 6929241