L
Título: Complete Reducibility In Euclidean Twin Buildings
Autores: Dawson, Denise
Fecha: 2012-12-17
2011-08-31
Publicador:
Fuente: Ver documento
Tipo: dissertation
Tema: Buildings
Complete Reducibility
twin buildings
Descripción: In [6], J.P. Serre defined completely reducible subcomplexes of spherical buildings in order to study subgroups of reductive algebraic groups. This paper begins the exploration of how one may use a similar notion of completely reducible subcomplexes of twin buildings to study subgroups of algebraic groups over a ring of Laurent polynomials and Kac-Moody groups. In this paper we explore the definitions of convexity and complete reducibility in twin buildings and some implications of the two in the Euclidean case.
Idioma: Inglés