| مستخلص: |
For any vertex operator algebra V , finite automorphism g of V of order T and m , n ∈ (1 / T) Z + , we construct a family of associative algebras A g , n (V) and A g , n (V) − A g , m (V) -bimodules A g , n , m (V) from the point of view of representation theory. We prove that the algebra A g , n (V) is identical to the algebra A g , n (V) constructed by Dong, Li and Mason, and that the bimodule A g , n , m (V) is identical to A g , n , m (V) which was constructed by Dong and Jiang. We also prove that the A g , n (V) − A g , m (V) -bimodule A g , n , m (V) is isomorphic to U (V [ g ]) n − m / U (V [ g ]) n − m − m − 1 / T , where U (V [ g ]) k is the subspace of degree k of the (1 / T) Z -graded universal enveloping algebra U (V [ g ]) of V with respect to g and U (V [ g ]) k l is some subspace of U (V [ g ]) k. And we show that all these bimodules A g , n , m (V) can be defined in a simpler way. [ABSTRACT FROM AUTHOR] |