Cartan-Preserving Automorphisms and the Weyl Group of Kac-Moody Algebras

Gorman, N. and O'Raifeartaigh, L. and McGlinn, W. (1988) Cartan-Preserving Automorphisms and the Weyl Group of Kac-Moody Algebras. (Preprint)

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Abstract

The group Ñ defined as the normalizer of the Cartan subalgebra in the group of all (inner and outer) automorphisms of affine Kac-Moody (KM) algebras is shown to play a fundamental role in the structure of these algebras. It is a (discrete) Galilean group which incorporates the affine and Weyl group structure of the KM algebra and the space-time structure of the bosonic string. It links the Virasoro and KM algebras in a non-trivial way and it plays a key role in the ‘vertex’ construction.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:18
Last Modified:	16 Dec 2022 07:39
URI:	https://dair.dias.ie/id/eprint/807

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