Twisted Vertex Representations and Spin Characters
نویسندگان
چکیده
We establish a new group-theoretic realization of the basic representations of the twisted affine and twisted toroidal algebras of ADE types in the same spirit of our new approach to the McKay correspondence. Our vertex operator construction provides a unified description to the character tables for the spin cover of the wreath product of the twisted hyperoctahedral groups and an arbitrary finite group.
منابع مشابه
Twisted Vertex Representations via Spin Groups and the Mckay Correspondence
We establish a twisted analog of our recent work on vertex representations and the McKay correspondence. For each finite group Γ and a virtual character of Γ we construct twisted vertex operators on the Fock space spanned by the super spin characters of the spin wreath products Γ ≀ S̃n of Γ and a double cover of the symmetric group Sn for all n. When Γ is a subgroup of SL2(C) with the McKay virt...
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