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University of Illinois at Urbana-Champaign
Classification of all parabolic subgroup schemes of a semisimple linear algebraic group over an algebraically closed field of positive characteristic
Abstract
dc:descriptionGiven a semisimple linear algebraic group G over an algebraically closed field K, we fix a Borel subgroup B and a maximal torus T. This determines a root system $\Phi$, and a set of simple roots $\Delta$. The subgroups containing B are called parabolic subgroups. They correspond to subsets of $\Delta$. Thus there are finitely many. In this classical context, parabolic subgrous are understood to be varieties.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Wenzel, Christian
- Contributors dc:contributor
-
- Haboush, William J.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 1990 Wenzel, Christian
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9114457
(UMI)AAI9114457 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/22442