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Complete Reducibility In Euclidean Twin Buildings

Author
Dawson, Denise
Abstract
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.
Date Issued
2011-08-31Subject
Buildings; Complete Reducibility; twin buildings
Committee Chair
Brown, Kenneth Stephen
Committee Member
Vogtmann, Karen L; Speh, Birgit Else Marie
Degree Discipline
Mathematics
Degree Name
Ph. D., Mathematics
Degree Level
Doctor of Philosophy
Type
dissertation or thesis