Induced modules for vertex operator algebras
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Abstract
For a vertex operator algebra $V$ and a vertex operator subalgebra $V'$ which is invarinant under an automorphism $g$ of $V$ of finite order, we introduce a $g$-twisted induction functor from the category of $g$-twisted $V'$-modules to the category of $g$-twisted $V$-modules. This functor satisfies the Frobenius reciprocity and transitivity. The results are illustrated with $V$ being simple or with $V'$ being $g$-rational.
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This publication has 9 references indexed in Scilit:
- A Mackey Decomposition Theorem and Cohomology for Quantum Groups at Roots of 1Journal of Algebra, 1994
- Twisted Modules for Vertex Algebras Associated with Even LatticesJournal of Algebra, 1994
- Discrete series of the Virasoro algebra and the moonshine module1994
- Representations of the moonshine module vertex operator algebra1994
- Induced Representations of Hopf Algebras: Applications to Quantum Groups at Roots of 1Journal of Algebra, 1993
- On axiomatic approaches to vertex operator algebras and modulesMemoirs of the American Mathematical Society, 1993
- Generalized Vertex Algebras and Relative Vertex Operators1993
- Vertex operator algebras associated to representations of affine and Virasoro algebrasDuke Mathematical Journal, 1992
- The operator algebra of orbifold modelsCommunications in Mathematical Physics, 1989