Affine Kac-Moody symmetric spaces associated with untwisted Kac-Moody algebras

Abstract

In this paper we have computed all the affine Kac-Moody symmetric spaces which are tame Frechet manifolds starting from the Vogan diagrams related to the affine untwisted Kac-Moody algebras. The detail computation of affine Kac-Moody symmetric spaces associated with A1(1) and A2(1) are shown algebraically to corroborate our method.

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