The small quantum group as a quantum double

Details The small quantum group as a quantum double The small quantum group as a quantum double

2009-02-02

arxiv.org/abs/0902.0332v3

Mathematics

Quantum Algebra

latex, 6 pages; proof of Theorem 4.1 added, a few references added

Scientific paper

We prove that the quantum double of the quasi-Hopf algebra A_q(g) of dimension n^{dim g} attached in arXiv:math/0403096 to a simple complex Lie algebra g and a primitive root of unity q of order n^2 is equivalent to Lusztig's small quantum group u_q(g) (under some conditions on n). We also give a conceptual construction of A_q(g) using the notion of de-equivariantization of tensor categories.

Affiliated with

Also associated with

No associations

Rating

The small quantum group as a quantum double 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 small quantum group as a quantum double, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The small quantum group as a quantum double will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160292