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Affine Kac-Moody Lie algebras as torsors over the punctured line

A. Pianzola
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Abstract

We interpret and develop a theory of loop algebras as torsors (principal homogeneous spaces) over Laurent polynomial rings . As an application, we recover Kac's realization of affine Kac-Moody Lie algebras.

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BibTeXRIS

A. Pianzola. 2002-08-01. Affine Kac-Moody Lie algebras as torsors over the punctured line. https://arxiv.org/abs/math/0203277

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