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Twisted vertex representations and spin characters

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arxiv math/0104127 v1 pith:FD432CAF submitted 2001-04-11 math.QA math.RT

Twisted vertex representations and spin characters

classification math.QA math.RT
keywords twistedrepresentationsspinvertexaffinealgebrasapproacharbitrary
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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.

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