Induced modules for vertex operator algebras |
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Authors: | Chongying Dong Zongzhu Lin |
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Affiliation: | (1) Department of Mathematics, University of California, 95064 Santa Cruz, CA, USA;(2) Department of Mathematics, Kansas State University, 66506 Manhattan, KS, USA |
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Abstract: | For a vertex operator algebraV and a vertex operator subalgebraV which is invariant under an automorphismg ofV of finite order, we introduce ag-twisted induction functor from the category ofg-twistedV-modules to the category ofg-twistedV-modules. This functor satisfies the Frobenius reciprocity and transitivity. The results are illustrated withV being theg-invariants in simpleV orV beingg-rational.The first author was supported by NSF grant DMS-9303374 and a research grant from the Committee on Research, UC Santa Cruz.The second author was supported by NSF grant DMS-9401389. |
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