Existence of triangular Lie bialgebra structures II

2004/09/20 by Joerg Feldvoss
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:17B62 #msc:81R05 #msc:81R50

paper · pdf

published as J. Pure Appl. Algebra 198 (2005), no. 1-3, 151-163 · 12 pages

arxiv created 2004/09/20 · arxiv updated 2009/12/01

Abstract

We characterize finite-dimensional Lie algebras over an arbitrary field of characteristic zero which admit a non-trivial (quasi-) triangular Lie bialgebra structure.

Related

• Lie bialgebra structures on the Lie algebra \widetilde\fraksl₂(C_q[x,y])
• Triangular structures on flat Lie algebras
• Trivial Central Extensions of Lie Bialgebras
• Milnor-Moore theorems for bialgebras in characteristic zero
• Bialgebra Structures on Flat Lie Algebras and their Poisson-Lie Groups