A category equivalence on the Lie algebra of polynomial vector fields
type: Item
instance of: scholarly article
title: A category equivalence on the Lie algebra of polynomial vector fields
author: Genqiang Liu
author: Yufang Zhao
published in: Journal of Algebra
publication date: 2024-08-15T00:00:00Z
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B66
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 7897486
zbMATH Keywords: Whittaker module
zbMATH Keywords: Weyl algebra
zbMATH Keywords: equivalence
zbMATH Keywords: cuspidal module
MaRDI profile type: Publication
cites work: Blocks and modules for Whittaker pairs
cites work: Bounded weight modules of the Lie algebra of vector fields on ℂ2
cites work: Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
cites work: Exponentiation and Fourier transform of tensor modules of \(\mathfrak{sl}(n+1)\)
cites work: Cuspidal representations of \(\mathfrak{sl}(n+1)\)
cites work: Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields
cites work: Introduction to Lie Algebras and Representation Theory
cites work: SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
cites work: On Whittaker vectors and representation theory
cites work: CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
cites work: Whittaker categories and the minimal nilpotent finite \(W\)-algebras for \(\mathfrak{sl}_{n+1}\)
cites work: Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules
cites work: Classification of Harish-Chandra modules over the Virasoro Lie algebra
cites work: Classification of irreducible weight modules
cites work: Weight representations of the polynomial Cartan type Lie algebras \(W_n\) and \(\overline S_n\)
cites work: Generalized Harish-Chandra modules: a new direction in the structure theory of representations
cites work: Special transverse slices and their enveloping algebras
cites work: Q3735909
cites work: Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\)
cites work: Whittaker category for the Lie algebra of polynomial vector fields
DOI: 10.1016/J.JALGEBRA.2024.04.028
description: scientific article; zbMATH DE number 7897486