Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414869 | Journal of Algebra | 2013 | 21 Pages |
Abstract
From a Lie algebra g satisfying Z(g)=0 and Î2(g)g=0 (in particular, for g semisimple) we describe explicitly all Lie bialgebra structures on extensions of the form L=gÃK in terms of Lie bialgebra structures on g (not necessarily factorizable nor quasi-triangular) and its biderivations, for any field K of characteristic different form 2, 3. If moreover, [g,g]=g, then we describe also all Lie bialgebra structures on extensions L=gÃKn. In interesting cases we characterize the Lie algebra of biderivations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marco A. Farinati, Alejandra Patricia Jancsa,