Some results on L-dendriform algebras

Details Some results on L-dendriform algebras Some results on L-dendriform algebras

2011-04-02

arxiv.org/abs/1104.0281v1

Journal of Geometry and Physics 60 (2010) 940-950

Physics

Mathematical Physics

15 pages

Scientific paper

We introduce a notion of L-dendriform algebra due to several different motivations. L-dendriform algebras are regarded as the underlying algebraic structures of pseudo-Hessian structures on Lie groups and the algebraic structures behind the $\mathcal O$-operators of pre-Lie algebras and the related $S$-equation. As a direct consequence, they provide some explicit solutions of $S$-equation in certain pre-Lie algebras constructed from L-dendriform algebras. They also fit into a bigger framework as Lie algebraic analogues of dendriform algebras. Moreover, we introduce a notion of $\mathcal O$-operator of an L-dendriform algebra which gives an algebraic equation regarded as an analogue of the classical Yang-Baxter equation in a Lie algebra.

Affiliated with

Also associated with

No associations

Rating

Some results on L-dendriform algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some results on L-dendriform algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some results on L-dendriform algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334680