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math.QA2002★ 6 cited
Covering Algebras II: Isomorphism of Loop Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
This paper studies the loop algebras that arise from pairs consisting of a symmetrizable Kac-Moody Lie algebra $\g$ and a finite order automorphism of $\g$. We obtain necessary…
math.RT2002
Affine Kac-Moody Lie algebras as torsors over the punctured line
A. Pianzola
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 affi…