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

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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.
8 pages Corrected some typos and changed some notation. Minor generalization of one result

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Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/63664

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203277
 http://arxiv.org/abs/math/0203277

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arXiv