English

Quantization of SL(2,R)^* as Bialgebra

Quantum Algebra 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We quantize the Poisson-Lie group SL(2,R)^* as a bialgebra using the product of Kontsevich. The coproduct is a deformation of the coproduct that comes from the group structure. The resulting bialgebra structure is isomorphic to the quantum universal enveloping algebra U_hsl(2,R).

Keywords

Cite

@article{arxiv.math/0211448,
  title  = {Quantization of SL(2,R)^* as Bialgebra},
  author = {Markus R. Engeli},
  journal= {arXiv preprint arXiv:math/0211448},
  year   = {2007}
}

Comments

11 pages, 2 figures, LaTeX2e