Fusion in the Extended Verlinde Algebra

Details Fusion in the Extended Verlinde Algebra Fusion in the Extended Verlinde Algebra

2006-07-30

arxiv.org/abs/math/0607786v1

Mathematics

Quantum Algebra

33 pages, 7 figures

Scientific paper

In this paper we study modular $G$-equivariant fusion categories and their extended Verlinde algebras. We dicuss settings in which fusion rules are diagonalizable. In particular, when $G = \mathbb{Z}_{2}$ we generalize the Verlinde formula. We discuss an important example at length: the type $D_{2m+2}$ quantum subgroup of the semisimple representations of $\mathcal{U}_{q}(\mathfrak{sl}_{2})$.

Affiliated with

Also associated with

No associations

Rating

Fusion in the Extended Verlinde Algebra 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 Fusion in the Extended Verlinde Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fusion in the Extended Verlinde Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-33948