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arXiv:math/0203277 [math.RT]AbstractReferencesReviewsResources

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

A. Pianzola

Published 2002-03-27, updated 2002-08-01Version 2

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.

Comments: 8 pages Corrected some typos and changed some notation. Minor generalization of one result
Categories: math.RT
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