Vertex representations via finite groups and the McKay correspondence

Given a finite group Γ and a virtual character ξ on it, we construct a Fock space and associated vertex operators in terms of a representation ring of wreath products Γ ∼ Sn We recover the character tables of wreath products Γ ∼ Sn by vertex operator calculus. When Γ is a finite subgroup of SU2, is...

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Bibliographic Details
Published in:International Mathematics Research Notices 2000, Vol.2000 (4), p.195-222
Main Authors: Frenkel, Igor B., Jing, Naihuan, Wang, Weiqiang
Format: Article
Language:English
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Summary:Given a finite group Γ and a virtual character ξ on it, we construct a Fock space and associated vertex operators in terms of a representation ring of wreath products Γ ∼ Sn We recover the character tables of wreath products Γ ∼ Sn by vertex operator calculus. When Γ is a finite subgroup of SU2, is a finite subgroup of A D E type, which can be regarded as a new form of McKay correspondence.
ISSN:1073-7928
1687-1197
DOI:10.1155/S107379280000012X