Complete Reducibility in Euclidean Twin Buildings

Details Complete Reducibility in Euclidean Twin Buildings Complete Reducibility in Euclidean Twin Buildings

2011-10-05

arxiv.org/abs/1110.1048v1

Mathematics

Group Theory

Scientific paper

Completely reducible subcomplexes of spherical buildings was defined by J.P. Serre and are used in studying subgroups of reductive algebraic groups. We begin the study of completely reducible subcomplexes of twin buildings and how they may be used to study subgroups of algebraic groups over a ring of Laurent polynomials and Kac-Moody groups by looking at the Euclidean twin building case.

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