Book contents
- Frontmatter
- Dedication
- Contents
- Illustrations
- Tables
- Introduction
- Part One Background and Review
- Part Two Bruhat–Tits Theory
- Part Three Additional Developments
- 10 Residue Field of Dimension 1
- 11 Component Groups of Integral Models
- 12 Finite Group Actions and Tamely Ramified Descent
- 13 Moy–Prasad Filtrations
- 14 Functorial Properties
- 15 The Buildings of Classical Groups via Lattice Chains
- Part Four Applications
- Part Five Appendices
- References
- Index of Symbols
- General Index
15 - The Buildings of Classical Groups via Lattice Chains
from Part Three - Additional Developments
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
- 10 Residue Field of Dimension 1
- 11 Component Groups of Integral Models
- 12 Finite Group Actions and Tamely Ramified Descent
- 13 Moy–Prasad Filtrations
- 14 Functorial Properties
- 15 The Buildings of Classical Groups via Lattice Chains
- Part Four Applications
- Part Five Appendices
- References
- Index of Symbols
- General Index
Summary
Studies the functorial properties of the reduced and enlarged Bruhat--Tits buildings. Given a homomorphism of algebraic groups $G \to H$, this chapter studies the existence and uniqueness of associated maps $\cB(G) \to \cB(H)$ between the Bruhat--Tits buildings.
- Type
- Chapter
- Information
- Bruhat–Tits TheoryA New Approach, pp. 513 - 544Publisher: Cambridge University PressPrint publication year: 2023