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math.RT2003
Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras
A. Pianzola
For g a split semisimple Lie algebra over a field of characteristic 0, we link locally trivial principal homogeneous spaces over Spec(R) to the question of conjugacy of maximal abe…
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…