Complete Reducibility In Euclidean Twin Buildings
| dc.contributor.author | Dawson, Denise | en_US |
| dc.contributor.chair | Brown, Kenneth Stephen | en_US |
| dc.contributor.committeeMember | Vogtmann, Karen L | en_US |
| dc.contributor.committeeMember | Speh, Birgit Else Marie | en_US |
| dc.date.accessioned | 2012-12-17T13:50:45Z | |
| dc.date.available | 2016-12-30T06:47:00Z | |
| dc.date.issued | 2011-08-31 | en_US |
| dc.description.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. | en_US |
| dc.identifier.other | bibid: 7955435 | |
| dc.identifier.uri | https://hdl.handle.net/1813/30634 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Buildings | en_US |
| dc.subject | Complete Reducibility | en_US |
| dc.subject | twin buildings | en_US |
| dc.title | Complete Reducibility In Euclidean Twin Buildings | en_US |
| dc.type | dissertation or thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Cornell University | en_US |
| thesis.degree.level | Doctor of Philosophy | |
| thesis.degree.name | Ph. D., Mathematics |
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