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.
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Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, JapanTohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China
Hou, Bo
Wang, Meng
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China
Wang, Meng
Gao, Suogang
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Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China