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

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

2002-11-28

arxiv.org/abs/math/0211448v1

Mathematics

Quantum Algebra

11 pages, 2 figures, LaTeX2e

Scientific paper

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).

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