Zhu's algebra, the C2 algebra, and twisted modules
Abstract
In his landmark paper, Zhu associated two associative algebras to a vertex operator algebra: what are now called Zhu's algebra and the C2-algebra. The former has a nice interpretation in terms of the representation theory of the VOA, while the latter only serves as a finiteness condition. In this paper we undertake first steps to unravel the interpretation of the C2 vector space. In particular we suggest that it seems and controls the twisted representations of the VOA.
0