Conrad / Prasad Classification of Pseudo-reductive Groups

1. Auflage 2015
ISBN: 978-1-4008-7402-6
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 191, 256 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Classification of Pseudo-reductive Groups".

Autoren/Hrsg.

Conrad, Brian

Prasad, Gopal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

Frontmatter, pg. i
Contents, pg. v
1. Introduction, pg. 1
2. Preliminary notions, pg. 15
3. Field-theoretic and linear-algebraic invariants, pg. 28
4. Central extensions and groups locally of minimal type, pg. 57
5. Universal smooth k-tame central extension, pg. 66
6. Automorphisms, isomorphisms, and Tits classification, pg. 79
7. Constructions with regular degenerate quadratic forms, pg. 108
8. Constructions when F has a double bond, pg. 138
9. Generalization of the standard construction, pg. 171
A. Pseudo-isogenies, pg. 181
B. Clifford constructions, pg. 187
C. Pseudo-split and quasi-split forms, pg. 206
D. Basic exotic groups of type F4 of relative rank 2, pg. 230
Bibliography, pg. 239
Index, pg. 241

Über Autor(innen)

Brian Conrad is professor of mathematics at Stanford University. Gopal Prasad is the Raoul Bott Professor of Mathematics at the University of Michigan.