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.
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Communicated by R.H. Dijkgraaf
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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Dong, C., Lin, Z. Induced modules for vertex operator algebras. Commun.Math. Phys. 179, 157–183 (1996). https://doi.org/10.1007/BF02103718
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DOI: https://doi.org/10.1007/BF02103718