An important theorem in the theory of infinite dimensional Lie algebras states that any affine
Kac-Moody algebra can be realized (that is to say constructed explicitly) using loop …

We define the notion of loop torsors under certain group schemes defined over the
localization of a regularhenselian ring A at a strict normal crossing divisor D. We provide a …

We prove several results on reductive group schemes over LG-rings, eg, existence of
maximal tori and conjugacy of parabolic subgroups. These were proven in SGA3 for the …

We provide a detailed study of torsors over Laurent polynomial rings under the action of an
algebraic group. As applications we obtained variations of Raghunathan's results on torsors …

Multiloop algebras are multivariable generalizations of the loop algebras appearing in affine
Kac–Moody theory. The study of these algebras and their extensions includes a substantial …

Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey
Page 1 Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A …

We provide a classification of $ G $-torsors over the punctured affine line ${\rm Spec}(k
[t^{\pm 1}]) $ where $ G $ is a reductive algebraic group defined over a field $ k $ of good …

In this paper, we consider irreducible quasi-finite (or equivalently weakly integrable)
modules, with non-trivial action of the core, over the extended affine Lie algebras (EALAs) …

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 …

Passage to the Limit in Non-AbelianˇCech Cohomology Page 1 Journal of Lie Theory Volume
17 (2007) 591–596 c 2007 Heldermann Verlag Passage to the Limit in Non-AbelianˇCech …