Twisted representations of vertex operator algebras and associative algebras
Abstract
Let V be a vertex operator algebra and g an automorphism of order T. We construct a sequence of associative algebras A_{g,n}(V) with n\in\frac{1}{T}\Z nonnegative such that A_{g,n}(V) is a quotient of A_{g,n+1/T}(V) and a pair of functors between the category of A_{g,n}(V)modules which are not A_{g,n1/T}(V)modules and the category of admissible Vmodules. These functors exhibit a bijection between the simple modules in each category. We also show that V is grational if and only if all A_{g,n}(V) are finitedimensional semisimple algebras.
 Publication:

eprint arXiv:qalg/9702027
 Pub Date:
 February 1997
 DOI:
 10.48550/arXiv.qalg/9702027
 arXiv:
 arXiv:qalg/9702027
 Bibcode:
 1997q.alg.....2027D
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 latex, 9 pages