On quantum group SL_q(2)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

plain TeX, 19 pages, no figures

Scientific paper

10.1007/BF02099543

We start with the observation that the quantum group SL_q(2), described in terms of its algebra of functions has a quantum subgroup, which is just a usual Cartan group. Based on this observation we develop a general method of constructing quantum groups with similar property. We also describe this method in the language of quantized universal enveloping algebras, which is another common method of studying quantum groups. We carry our method in detail for root systems of type SL(2); as a byproduct we find a new series of quantum groups - metaplectic groups of SL(2)-type. Representations of these groups can provide interesting examples of bimodule categories over monoidal category of representations of SL_q(2).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

On quantum group SL_q(2) 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 On quantum group SL_q(2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On quantum group SL_q(2) will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-202547

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.