English

On associative algebras, modules and twisted modules for vertex operator algebras

Quantum Algebra 2015-08-31 v2

Abstract

We give a new construction of functors from the category of modules for the associative algebras An(V)A_n(V) and Ag(V)A_g(V) associated with a vertex operator algebra VV, defined by Dong, Li and Mason, to the category of admissible VV-modules and admissible twisted VV-modules, respectively, using the method developed in the joint work \cite{HY1} with Y.-Z. Huang. The functors were first constructed by Dong, Li and Mason, but the importance of the new method, as in \cite{HY1}, is that we can apply the method to study objects without the commutator formula in the representation theory of vertex operator algebras.

Keywords

Cite

@article{arxiv.1408.0329,
  title  = {On associative algebras, modules and twisted modules for vertex operator algebras},
  author = {Jinwei Yang},
  journal= {arXiv preprint arXiv:1408.0329},
  year   = {2015}
}
R2 v1 2026-06-22T05:18:52.921Z