Book contents
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- Part Four Applications
- 16 Classification of Maximal Unramified Tori (d’aprés DeBacker)
- 17 Classification of Tamely Ramified Maximal Tori
- 18 The Volume Formula
- Part Five Appendices
- References
- Index of Symbols
- General Index
18 - The Volume Formula
from Part Four - Applications
Published online by Cambridge University Press: 16 May 2023
Book contents
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- Part Four Applications
- 16 Classification of Maximal Unramified Tori (d’aprés DeBacker)
- 17 Classification of Tamely Ramified Maximal Tori
- 18 The Volume Formula
- Part Five Appendices
- References
- Index of Symbols
- General Index
Summary
Presents Prasad's formula \cite{Prasad89} for the covolume of $S$-arithmetic subgroups of an absolutely simple simply connected group over a global field. The derivation of this formula involves a considerable amount of Bruhat--Tits theory, even if $S$ consists only of Archimedean places.
- Type
- Chapter
- Information
- Bruhat–Tits TheoryA New Approach, pp. 558 - 590Publisher: Cambridge University PressPrint publication year: 2023