Derivations of abelian Lie algebra extensions


Abstract


Let 0 \rightarrow A\rightarrow L {\rightarrow} B \rightarrow 0 be an abelian extension of Lie algebras. In this paper, we construct certain exact sequences which relate derivations with the Lie algebra cohomology group H^{2}(B,A) , and apply them to study extending derivations of A and lifting derivations of B to certain derivations of L .

DOI Code: 10.1285/i15900932v39n2p71

Keywords: Derivation of Lie algebras; extensions of Lie algebras; second cohomology of Lie algebras; semidirect sum

Full Text: PDF
کاغذ a4

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.