Quantization of Poisson Groups

Details Quantization of Poisson Groups Quantization of Poisson Groups

1995-11-24

arxiv.org/abs/q-alg/9511022v6

Mathematics

Quantum Algebra

AMS-TeX file, 50 pages; final (hopefully) version

Scientific paper

The quantization of well-known pairs of Poisson groups of a wide class is studied by means of Drinfeld's double construction and dualization via formal Hopf algebras; new quantized enveloping algebras $ U_{q,\varphi}^{M,\infty} (\frak h) $ and quantum formal groups $ F_{q,\varphi}^{M,\infty}[G] $ are introduced (both in one-parameter and multi-parameter case), and their specializations at roots of 1 (in particular, their classical limits) are studied: a new insight into the classical Poisson duality is thus obtained.

Affiliated with

Also associated with

No associations

Rating

Quantization of Poisson Groups 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 Quantization of Poisson Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of Poisson Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362203