Book contents
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- 1 Affine Root Systems and Abstract Buildings
- 2 Algebraic Groups
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- Part Four Applications
- Part Five Appendices
- References
- Index of Symbols
- General Index
2 - Algebraic Groups
from Part One - Background and Review
Published online by Cambridge University Press: 16 May 2023
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- 1 Affine Root Systems and Abstract Buildings
- 2 Algebraic Groups
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- Part Four Applications
- Part Five Appendices
- References
- Index of Symbols
- General Index
Summary
Background material. ,Topics include reviews of Henselian fields, fields of dimension at most 1, tori, reductive groups, Chevalley systems and pinnings, integral models, the dynamic method.Some important definitions, such as of the subgroup $G(k)^0$ of $G(k)$, are also given.
- Type
- Chapter
- Information
- Bruhat–Tits TheoryA New Approach, pp. 68 - 138Publisher: Cambridge University PressPrint publication year: 2023