A construction of Lie bialgebras from Lie coalgebras via antisymmetric bilinear forms

DOI10.1080/00927872.2020.1730864zbMath1475.17037OpenAlexW3010326032MaRDI QIDQ5119311

Youjun Tan, Lei Du

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1730864

zbMATH Keywords

Lie bialgebrasLie coalgebrasLie comodules

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Lie bialgebras; Lie coalgebras (17B62)

Related Items

Coderivations, abelian extensions and cohomology of Lie coalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dual Poincaré-Birkhoff-Witt theorem
• Lie coalgebras
• Classification of orbit closures of 4-dimensional complex Lie algebras
• Existence of a Lie bialgebra structure on every Lie algebra
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
• Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra
• An example of a non-zero Lie coalgebra M for which \(Loc(M)=0\)
• Classification of three-dimensional Lie bialgebras
• Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type
• A Classification of Low Dimensional Lie Bialgebras
• Introduction to Lie Algebras and Representation Theory
• Coderivations, abelian extensions and cohomology of Lie coalgebras
• Solutions of the classical Yang-Baxter equation for simple Lie algebras