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- W2083314059 abstract "We establish a twisted analog of our recent work on vertex representations and the McKay correspondence. For each finite group $Gamma$ and a virtual character of $Gamma$, we construct twisted vertex operators on the Fock space spanned by the super spin characters of the spin wreath products $Gammawr tilde {S}_n$ of $Gamma$ and a double cover of the symmetric group $S_n$ for all $n$. When $Gamma$ is a subgroup of ${rm SL}_2(mathbb {C})$ with the McKay virtual character, our construction gives a group-theoretic realization of the basic representations of the twisted affine and twisted toroidal Lie algebras. When $Gamma$ is an arbitrary finite group and the virtual character is trivial, our vertex operator construction yields the spin character tables for $Gammawr tilde {S}_n$." @default.
- W2083314059 created "2016-06-24" @default.
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- W2083314059 date "2002-01-15" @default.
- W2083314059 modified "2023-09-26" @default.
- W2083314059 title "Twisted vertex representations via spin groups and the McKay correspondence" @default.
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- W2083314059 doi "https://doi.org/10.1215/s0012-7094-02-11112-0" @default.
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