The regular representations and the $A_n(V)$ algebras

Abstract

For a vertex operator algebra $V$, the regular representations are related to the $A_n(V)$-algebras and their bimodules, and induced $V$-modules from $A_n(V)$-modules are defined and studied in terms of the regular representations.

AMS-LaTex, 19 pages; to appear in: Proceedings of Workshop on Moonshine, May 28-June 4, 1999, Montreal