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Bimodules Associated to Twisted Modules of Vertex Operator Algebras and Fusion Rules
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作者 Yiyi Zhu 《Algebra Colloquium》 2026年第1期41-60,共20页
Let V be a vertex operator algebra,T be in N and(M^(k),Y M^(k))for k=1,2,3 be a g k-twisted module,where g k are commuting automorphisms of V such that g k T=1 for k=1,2,3 and g3=g1 g2.Suppose I(·,z)is an intertw... Let V be a vertex operator algebra,T be in N and(M^(k),Y M^(k))for k=1,2,3 be a g k-twisted module,where g k are commuting automorphisms of V such that g k T=1 for k=1,2,3 and g3=g1 g2.Suppose I(·,z)is an intertwining operator of type(M^(3)M^(1)M^(2)).We construct an A_(g1 g2)(V)-A_(g2)(V)-bimodule A_(g1 g2,g2)(M^(1))which determines the action of M^(1)from the bottom level of M^(2)to the bottom level of M^(3),and we explore its connections with fusion rules. 展开更多
关键词 vertex operator algebra bimodule twisted module
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