Realization of q-deformed spacetime as star product by a Drinfeld twist

Details Realization of q-deformed spacetime as star product by a Drinfeld twist Realization of q-deformed spacetime as star product by a Drinfeld twist

2004-02-12

arxiv.org/abs/math/0402199v1

Mathematics

Quantum Algebra

4 pages; LaTeX (uses iopart class); to appear in the proceedings of Group24 (Paris, 2002)

Scientific paper

Covariance ties the noncommutative deformation of a space into a quantum space closely to the deformation of the symmetry into a quantum symmetry. Quantum deformations of enveloping algebras are governed by Drinfeld twists, inner automorphisms which relate the deformed to the undeformed coproduct. While Drinfeld twists naturally define a covariant star product on the space algebra, this product is in general not associative and does not yield a quantum space. It is reported that, nevertheless, there are certain Drinfeld twists which realize the quantum plane, quantum Euclidean 4-space, and quantum Minkowski space.

Affiliated with

Also associated with

No associations

Rating

Realization of q-deformed spacetime as star product by a Drinfeld twist 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 Realization of q-deformed spacetime as star product by a Drinfeld twist, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Realization of q-deformed spacetime as star product by a Drinfeld twist will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452087