Twisted vertex representations and spin characters

Details Twisted vertex representations and spin characters Twisted vertex representations and spin characters

2001-04-11

arxiv.org/abs/math/0104127v1

Math. Zeit. 239 (2002), no.4, 715-746.

Mathematics

Quantum Algebra

30 pages, amslatex

Scientific paper

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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