Artículo
Torsors, reductive group schemes and extended affine Lie algebras
Fecha de publicación:
11/2013
Editorial:
American Mathematical Society
Revista:
Memoirs Of The American Mathematical Society (ams)
ISSN:
0065-9266
e-ISSN:
1947–6221
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
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.
Palabras clave:
Reductive Group Schemes
,
Loop Torsors
,
Extended Affine Lie Algebras
Archivos asociados
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Identificadores
Colecciones
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
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
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