Braided Hopf Algebras

Details Braided Hopf Algebras Braided Hopf Algebras

2005-11-10

arxiv.org/abs/math/0511251v10

Hunan Normal University Press, 1999, ISBN7-81031-812-8/0.036

Mathematics

Rings and Algebras

318pages

Scientific paper

In braided tensor categories we show the Maschke's theorem and give the necessary and sufficient conditions for double cross biproducts and crossbiproducts and biproducts to be bialgebras. We obtain the factorization theorem for braided Hopf algebras; In symmetric tensor categories, we show the duality theorem and construct quantum double; In ordinary vector space category with ordinary twist, we obtain the relation between the global dimension, the weak dimension, the Jacbson radical, Baer radical of algebra $R$ and its crossed product $R #_\sigma H$. We also give the relation between the decompositions of comodules and coalgebras. We classify quiver Hopf algebras. We obtain all solutions of constant classical Yang-Baxter equation (CYBE) in Lie algebra $L$ with dim $L \le 3$. We also give the sufficient and necessary conditions for $(L, \hbox {[ ]}, \Delta_r, r)$ to be a coboundary (or triangular) Lie bialgebra.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386221