Centralizers in reductive group schemes

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Abstract/Contents

Abstract
Let A be a discrete valuation ring, and let G be a reductive $A$-group scheme. If H is a closed subscheme of G, we are interested in properties of the centralizer of H in G in various cases. Our investigations involve the development of relative versions of the Jordan decomposition and Springer isomorphisms and a study of schemes of homomorphisms between reductive group schemes. Several applications of these results to theorems over fields are described.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2023; ©2023
Publication date 2023; 2023
Issuance monographic
Language English

Creators/Contributors

Author Cotner, Sean Thomas
Degree supervisor Conrad, Brian, 1970-
Thesis advisor Conrad, Brian, 1970-
Thesis advisor Zhu, X. (Xinwen), 1982-
Thesis advisor van Hoften, Pol
Degree committee member Zhu, X. (Xinwen), 1982-
Degree committee member van Hoften, Pol
Associated with Stanford University, School of Humanities and Sciences
Associated with Stanford University, Department of Mathematics

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Sean Cotner.
Note Submitted to the Department of Mathematics.
Thesis Thesis Ph.D. Stanford University 2023.
Location https://purl.stanford.edu/zf615fd5761

Access conditions

Copyright
© 2023 by Sean Thomas Cotner
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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