Mathematics – Rings and Algebras
Scientific paper
2011-09-24
Mathematics
Rings and Algebras
Scientific paper
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 Lie algebras the affine algebras stand out. This paper deals with the problem of conjugacy for a class of algebras --extended affine Lie algebras-- that are in a precise sense higher nullity analogues of the affine algebras. Unlike the methods used by Peterson-Kac, our approach is entirely cohomological and geometric. It is deeply rooted on the theory of reductive group schemes developed by Demazure and Grothendieck, and on the work of J. Tits on buildings
Chernousov Vladimir
Gille Philippe
Pianzola Arturo
No associations
LandOfFree
Conjugacy theorems for loop reductive group schemes and Lie algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conjugacy theorems for loop reductive group schemes and Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conjugacy theorems for loop reductive group schemes and Lie algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-602403