Witt and Virasoro algebras as Lie bialgebras
type: Item
instance of: scholarly article
title: Witt and Virasoro algebras as Lie bialgebras
zbMATH Open document ID: 0786.17015
DOI: 10.1016/0022-4049(93)90116-B
author: Earl J. Taft
published in: Journal of Pure and Applied Algebra
publication date: 1993-11-08T00:00:00Z
review text: An infinite family of solutions of the classical Yang-Baxter equation in the Witt and Virasoro Lie algebras is presented. It is shown that the corresponding triangular Lie bialgebra structures are not isomorphic, in char 0. The relation of the dual structures with linearly recursive sequences is discussed.
reviewed by: Nicolás Andruskiewitsch
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 427770
zbMATH Keywords: Witt algebra
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: classical Yang-Baxter equation
zbMATH Keywords: triangular Lie bialgebra
zbMATH Keywords: linearly recursive sequences
Wikidata QID: Q115364416
MaRDI profile type: Publication
cites work: Q3819193
cites work: The algebraic structure of linearly recursive sequences under Hadamard product
cites work: Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
cites work: Lie coalgebras
cites work: The dual Poincaré-Birkhoff-Witt theorem
cites work: An example of a non-zero Lie coalgebra M for which \(Loc(M)=0\)
cites work: A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
cites work: The structure of the dual Lie coalgebra of the Witt algebra
cites work: On Lie and associative duals
cites work: The Hopf algebra of linearly recursive sequences
cites work: Q5590089
cites work: Q3469231
Recommended article: Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
Recommended article: Witt型与Virasoro型Lie双代数的对偶
Recommended article: Lie bialgebras of generalized Witt type
Recommended article: Q4880616
Recommended article: Lie bialgebras of generalized Virasoro-like type
Recommended article: Lie bialgebras of generalized loop Virasoro algebras
Recommended article: Algébre de lie de type witt
Recommended article: Q2776104
Recommended article: Lie Bialgebras of Generalized WITT Type, II
Recommended article: Q3054645
description: scientific article; zbMATH DE number 427770