Twisted Vertex Operators and A-D-E Representations

Mathematics – Representation Theory

Scientific paper

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29 pages, AMS-Latex

Scientific paper

In this paper, we study the algebra of twisted vertex operators over an even
integral ${\mathbf Z}_2$-lattice, and give a kind of systematic construction of
fundamental representations for affine Lie algebras of type $A$, $D$, $E$ with
their irreducible decompositions.

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