Groupes de Kac-Moody déployés sur un corps local, II Masures ordonnées - Mathematics > Group TheoryReportar como inadecuado




Groupes de Kac-Moody déployés sur un corps local, II Masures ordonnées - Mathematics > Group Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: For a split Kac-Moody group in J. Tits- definition over a field endowedwith a real valuation, we build an ordered affine hovel on which the groupacts. This construction generalizes the one already done by S. Gaussent and theauthor when the residue field contains the complex field Annales Fourier, 582008, 2605-2657 and the one by F. Bruhat and J. Tits when the group isreductive. We prove that this hovel has all properties of ordered affine hovelsmasures affines ordonn\-ees as defined in Rousseau, ArXiv 0810.4241. We usethe maximal Kac-Moody group as defined by O. Mathieu and we prove a few newresults about it over any field; in particular we prove, in some cases, asimplicity result for this group.



Autor: Guy Rousseau IECN

Fuente: https://arxiv.org/







Documentos relacionados