Classification of Lie bialgebras over current algebras

2010/01/26 by Fernando Montaner, F. Montaner, A. Stolin +6
Mathematics · Physics and Astronomy · #17B37 #17B62 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:17B62

paper · pdf · doi:10.48550/arxiv.1001.4824

26 pages

openalex publication_date 2010/01/26 · arxiv created 2010/09/07 · arxiv updated 2010/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we present a classification of Lie bialgebra structures on Lie algebras of type g[[u]] and g[u], where g is a simple finite dimensional Lie algebra.

Citations

• Lagrangian Subalgebras and Quasi-trigonometric r-Matrices

Related

• On the General Classification of Lie Bialgebra Structures over Polynomials
• Bialgebra Structures on Flat Lie Algebras and their Poisson-Lie Groups
• On the Classification of Lie Bialgebras by Cohomological Means
• Generalized Lie bialgebras and Jacobi structures on Lie groups
• Three dimensional real Lie bialgebras