The Problem of Differential Calculus on Quantum Groups

Details The Problem of Differential Calculus on Quantum Groups The Problem of Differential Calculus on Quantum Groups

1996-08-14

arxiv.org/abs/q-alg/9608010v1

Czechoslovak Journal of Physics, Vol.46 (1996) 1217-1225.

Mathematics

Quantum Algebra

Contribution to the proceedings of the Colloquium on Quantum Groups and Integrable Systems Prague, June 1996. amslatex, 9 page

Scientific paper

10.1007/BF01690336

The bicovariant differential calculi on quantum groups of Woronowicz have the drawback that their dimensions do not agree with that of the corresponding classical calculus. In this paper we discuss the first-order differential calculus which arises from a simple quantum Lie algebra. This calculus has the correct dimension and is shown to be bicovariant and complete. But it does not satisfy the Leibniz rule. For sl_n this approach leads to a differential calculus which satisfies a simple generalization of the Leibniz rule.

Affiliated with

Also associated with

No associations

Rating

The Problem of Differential Calculus on Quantum 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 The Problem of Differential Calculus on Quantum Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Problem of Differential Calculus on Quantum Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358454