Highest weight modules over pre-exp-polynomial Lie algebras
type: Item
instance of: scholarly article
title: Highest weight modules over pre-exp-polynomial Lie algebras
zbMATH Open document ID: 1220.17001
author: Punita Batra
author: Xiangqian Guo
author: Rencai Lü
author: Kaiming Zhao
published in: Journal of Algebra
publication date: 2010-03-04T00:00:00Z
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 5677307
zbMATH Keywords: pre-exp-polynomial Lie algebra
zbMATH Keywords: highest weight module
Wikidata QID: Q115351279
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2009.09.024
OpenAlex ID: W2047882939
cites work: Representations of twisted multi-loop Lie algebras.
cites work: Irreducible representations for toroidal Lie algebras
cites work: Q4945714
cites work: Representations of toroidal extended affine Lie algebras
cites work: Q3626581
cites work: A category of modules for the full toroidal Lie algebra
cites work: Principal vertex operator representations for toroidal Lie algebras
cites work: An extension of the Korteweg-de Vries hierarchy arising from a representation of a toroidal Lie algebra
cites work: Weight modules over exp-polynomial Lie algebras
cites work: VERTEX OPERATOR REPRESENTATIONS OF QUANTUM TORI AT ROOTS OF UNITY
cites work: Conformal field theory
cites work: Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
cites work: Iterated loop modules and a filteration for vertex representation of toroidal Lie algebras
cites work: Classification of irreducible integrable representations for the full toroidal Lie algebras
cites work: Highest weight irreducible representations of rank 2 quantum tori
cites work: Vertex representations via finite groups and the McKay correspondence
cites work: Integrable representations for the twisted full toroidal Lie algebras
cites work: Q4519091
cites work: Vertex operator representation of some quantum tori Lie algebras
cites work: Higher-Dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
cites work: Hirota bilinear forms with \(2\)-toroidal symmetry.
cites work: Nonzero level Harish-Chandra modules over the Virasoro-like algebra
cites work: Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra
cites work: Classification of irreducible weight modules over higher rank Virasoro algebras
cites work: Verma Modules over Quantum Torus Lie Algebras
cites work: SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
cites work: Q5691063
cites work: Imaginary Highest-Weight Representation Theory and Symmetric Functions
DOI: 10.1016/J.JALGEBRA.2009.09.024
description: scientific article; zbMATH DE number 5677307