PostLie algebra structures on the Lie algebra sl(2,C)

Details PostLie algebra structures on the Lie algebra sl(2,C) PostLie algebra structures on the Lie algebra sl(2,C)

2011-11-26

arxiv.org/abs/1111.6128v1

Mathematics

Rings and Algebras

20 pages

Scientific paper

The PostLie algebra is an enriched structure of the Lie algebra that has recently arisen from operadic study. It is closely related to pre-Lie algebra, Rota-Baxter algebra, dendriform trialgebra, modified classical Yang-Baxter equations and integrable systems. We give a complete classification of PostLie algebra structures on the Lie algebra sl(2,C) up to isomorphism. We first reduce the classification problem to solving an equation of 3 x 3 matrices. To solve the latter problem, we make use of the classification of complex symmetric matrices up to the congruent action of orthogonal groups.

Affiliated with

Also associated with

No associations

Rating

PostLie algebra structures on the Lie algebra sl(2,C) 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 PostLie algebra structures on the Lie algebra sl(2,C), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PostLie algebra structures on the Lie algebra sl(2,C) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-483319