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

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

2002-03-27

arxiv.org/abs/math/0203277v2

Mathematics

Representation Theory

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

Scientific paper

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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