For an S-local vertex operator algebra V #H, where V is a simple vertex operator algebra, and H is the group algebra of a finite subgroup of Aut(V), Frobenius reciprocity is investigated. We give an explicit construction and classification of admissible V #H-modules in terms of admissible V-modules. We also give a complete set of irreducible inequivalent admissible V #H-modules.
机构:
Univ Cambridge, Ctr Math Sci, Dept Pure Math & Math Stat, Cambridge CB3 0WB, EnglandUniv Cambridge, Ctr Math Sci, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England