Quadratic Poisson brackets and Drinfel'd theory for associative algebras

Details Quadratic Poisson brackets and Drinfel'd theory for associative algebras Quadratic Poisson brackets and Drinfel'd theory for associative algebras

1995-01-16

arxiv.org/abs/q-alg/9501019v1

Mathematics

Quantum Algebra

latex, no figures.

Scientific paper

Quadratic Poisson brackets on associative algebras are studied. Such a bracket compatible with the multiplication is related to a differentiation in tensor square of the underlying algebra. Jacobi identity means that this differentiation satisfies a classical Yang--Baxter equation. Corresponding Lie groups are canonically equipped with a Poisson Lie structure. A way to quantize such structures is suggested.

Affiliated with

Also associated with

No associations

Rating

Quadratic Poisson brackets and Drinfel'd theory for associative 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 Quadratic Poisson brackets and Drinfel'd theory for associative algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadratic Poisson brackets and Drinfel'd theory for associative algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719518