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Torsors, reductive group schemes and extended affine Lie algebras
(American Mathematical Society, 2013-11)
We give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction ...
Conjugacy theorems for loop reductive group schemes and Lie algebras
(Springer, 2014-01)
The conjugacy of split Cartan subalgebras in the finite-dimensional simple case (Chevalley) and in the symmetrizable Kac–Moody case (Peterson–Kac) are fundamental results of the theory of Lie algebras. Among the Kac–Moody ...