Vertex tensor category structure on a category of Kazhdan--Lusztig

Details Vertex tensor category structure on a category of Kazhdan--Lusztig Vertex tensor category structure on a category of Kazhdan--Lusztig

2007-01-09

arxiv.org/abs/math/0701260v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

We incorporate a category of certain modules for an affine Lie algebra, of a certain fixed non-positive-integral level, considered by Kazhdan and Lusztig, into the representation theory of vertex operator algebras, by using the logarithmic tensor product theory for generalized modules for a vertex operator algebra developed by Huang, Lepowsky and the author. We do this by proving that the conditions for applying this general logarithmic tensor product theory hold. As a consequence, we prove that this category has a natural vertex tensor category structure, and in particular we obtain a new, vertex-algebraic, construction of the natural associativity isomorphisms and proof of their properties.

Affiliated with

Also associated with

No associations

Rating

Vertex tensor category structure on a category of Kazhdan--Lusztig 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 Vertex tensor category structure on a category of Kazhdan--Lusztig, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertex tensor category structure on a category of Kazhdan--Lusztig will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-723064