A compactification of the Bruhat-Tits building /
The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary is given. In order to make this work as self-contained as possible and also accessible to non-experts in...
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| Format: | eBook |
| Language: | English |
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Berlin ; New York :
Springer,
[1996]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1619. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 0. Definitions and notations
- Ch. I. The apartment. 1. The empty apartment. 2. The compactification of the empty apartments
- Ch. II. The o[Kappa]-group schemes in the quasi-split case. 3. The group scheme [actual symbol not reproducible]. 4. The group schemes [actual symbol not reproducible]. 5. A smooth model of the big cell in G. 6. The group schemes [actual symbol not reproducible][Omega]
- Ch. III. The building in the quasi-split case. 7. The full apartment. 8. The groups U[Omega] and P[Omega]. 9. The definition of the building
- Ch. IV. The building and its compactification. 10. The etale descent. 11. The full apartment in the general case. 12. The groups U[Omega] and P[Omega] in the general case. 13. The building in the general case. 14. The compactification of the building. 15. Example: SL[subscript n].