On restricted Leibniz algebras

Details On restricted Leibniz algebras On restricted Leibniz algebras

2005-06-23

arxiv.org/abs/math/0506473v2

Communications in Algebra 34 (2006), no 12, 4467--4478

Mathematics

Rings and Algebras

11 pages, minor modifications

Scientific paper

In this paper we prove that in prime characteristic there is a functor $-_{p-Leib}$ from the category of diassociative algebras to the category of restricted Leibniz algebras, generalizing the functor from associative algebras to restricted Lie algebras. Moreover we define the notion of restricted universal enveloping diassociative algebra $Ud_{p}(g)$ of a restricted Leibniz algebra $g$ and we show that $Ud_{p}$ is left adjoint to the functor $-_{p-Leib}$. We also construct the restricted enveloping algebra, which classifies the restricted Leibniz modules. In the last section we put a restricted pre-Lie structure on the tensor product of a Leibniz algebra by a Zinbiel algebra.

Affiliated with

Also associated with

No associations

Rating

On restricted Leibniz 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 On restricted Leibniz algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On restricted Leibniz algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624448