Mathematics – Quantum Algebra
Scientific paper
2006-07-26
Mathematics
Quantum Algebra
33pages
Scientific paper
It is shown that a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is semisimple and each irreducible admissible V-module is ordinary. A contravariant form on a Verma type admissible V-module is constructed and the radical is exactly the maximal proper submodule. As an application the rationality of V_L^+ for any positive definite even lattice is obtained.
Dong Chongying
Jiang Cuipo
No associations
LandOfFree
Rationality of vertex operator algebras 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 Rationality of vertex operator algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rationality of vertex operator algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-478633