Braided m-Lie Algebras

Details Braided m-Lie Algebras Braided m-Lie Algebras

2003-08-11

arxiv.org/abs/math/0308095v7

Letters in Mathematical Physics, 70 (2004), 155-167

Mathematics

Rings and Algebras

14 pages

Scientific paper

10.1007/s11005-004-4294-3

Braided m-Lie algebras induced by multiplication are introduced, which generalize Lie algebras, Lie color algebras and quantum Lie algebras. The necessary and sufficient conditions for the braided m-Lie algebras to be strict Jacobi braided Lie algebras are given. Two classes of braided m-Lie algebras are given, which are generalized matrix braided m-Lie algebras and braided m-Lie subalgebras of $End_F M$, where $M$ is a Yetter-Drinfeld module over $B$ with dim $B< \infty $ . In particular, generalized classical braided m-Lie algebras $sl_{q, f}(GM_G(A), F)$ and $osp_{q, t} (GM_G(A), M, F)$ of generalized matrix algebra $GM_G(A)$ are constructed and their connection with special generalized matrix Lie superalgebra $sl_{s, f}(GM_{{\bf Z}_2}(A^s), F)$ and orthosymplectic generalized matrix Lie super algebra $osp_{s, t} (GM_{{\bf Z}_2}(A^s), M^s, F)$ are established. The relationship between representations of braided m-Lie algebras and their associated algebras are established.

Affiliated with

Also associated with

No associations

Rating

Braided m-Lie 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 Braided m-Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Braided m-Lie Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694583