2 00 1 Uniform product of A n , g ( V ) for an orbifold model V and G - twisted Zhu algebra
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چکیده
Let V be a simple vertex operator algebra and G a finite automorphism group of V . It was shown in [DY] that any irreducible V -module is a completely reducible V G-module. In this paper, we show that any g-twisted V -module is also a completely reducible V G-module if V is g-rational. For each g ∈ G, a g-twisted Zhu algebra Ag,n(V ) plays an important role, but the given product in Ag,n(V ) depends on the eigenspaces of g. We show that there is a uniform definition of products on V and we introduce a universal G-twisted Zhu algebra which covers all g-twisted Zhu algebras.
منابع مشابه
Uniform product of A n , g ( V ) for an orbifold model V and G - twisted Zhu algebra
Let V be a simple vertex operator algebra and G a finite automorphism group of V . It was shown in [DY] that any irreducible V -module is a completely reducible V G-module. In this paper, we show that any g-twisted V -module is also a completely reducible V G-module if V is g-rational. For each g ∈ G, a g-twisted Zhu algebra Ag,n(V ) plays an important role, but the given product in Ag,n(V ) de...
متن کاملm at h . Q A ] 1 4 Fe b 20 02 Uniform product of A g , n ( V ) for an orbifold model V and G - twisted Zhu algebra Masahiko Miyamoto ∗ and Kenichiro Tanabe
Let V be a vertex operator algebra and G a finite automorphism group of V . For each g ∈ G and nonnegative rational number n ∈ Z/|g|, a g-twisted Zhu algebra Ag,n(V ) plays an important role in the theory of vertex operator algebras, but the given product in Ag,n(V ) depends on the eigenspaces of g. We show that there is a uniform definition of products on V and we introduce a G-twisted Zhu alg...
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