Artículos de revistas
Torsors, reductive group schemes and extended affine Lie algebras
Fecha
2013-11Registro en:
Gille, Philippe; Pianzola, Arturo; Torsors, reductive group schemes and extended affine Lie algebras; American Mathematical Society; Memoirs Of The American Mathematical Society (ams); 226; 1063; 11-2013; 1-116
0065-9266
1947–6221
CONICET Digital
CONICET
Autor
Gille, Philippe
Pianzola, Arturo
Resumen
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 of Extended Affine Lie Algebras (which are higher nullity analogues of the affine Kac-Moody Lie algebras). The torsor approach that we take draws heavily for the theory of reductive group schemes developed by M. Demazure and A. Grothendieck. It also allows us to find a bridge between multiloop algebras and the work of F. Bruhat and J. Tits on reductive groups over complete local fields.