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Immeubles Affines Et Groupes de Kac-Moody
Paperback
Series: Omn.Univ.Europ.
Please select the version of book you would like to purchase.
ISBN10: 613158611X
ISBN13: 9786131586118
Publisher: Ed Universitaires Europeennes
Published: Feb 28 2018
Pages: 144
Weight: 0.49
Height: 0.34 Width: 5.98 Depth: 9.02
Language: French
ISBN13: 9786131586118
Publisher: Ed Universitaires Europeennes
Published: Feb 28 2018
Pages: 144
Weight: 0.49
Height: 0.34 Width: 5.98 Depth: 9.02
Language: French
Le but de ce travail est d'étendre la théorie de Bruhat-Tits au cas des groupes de Kac-Moody sur des corps locaux. Il s'agit donc de définir un espace géométrique sur lequel un tel groupe agit, semblable à l'immeuble de Bruhat-Tits d'un groupe réductif. En fait, la première partie reste dans le cadre de la théorie de Bruhat-Tits, on y étudie une famille de compactifications des immeubles affines. C'est dans la seconde partie, en s'inspirant de la construction de la première, qu'on aborde le cas des groupes de Kac-Moody. Les espaces que nous obtiendrons ne vérifient pas toutes les conditions demandées à un immeuble, car deux points peuvent ne pas appartenir a un mème appartement. Ils sont donc appelés des masures, et plus précisément des masures bordées.
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