Lecture Notes in Mathematics

By: Erasmus Landvogt

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Paperback | 17 November 1995

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168 Pages

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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 Bruhat-Tits theory, the construction of the Bruhat-Tits building itself is given completely.

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Non-Fiction Mathematics Groups & Group Theory Algebra Topology Algebraic Topology Geometry Algebraic Geometry

Introduction	p. 1
Definitions and notations	p. 3
The apartment	p. 14
The empty apartment	p. 14
The compactification of the empty apartments	p. 21
The o[Kappa]-group schemes in the quasi-split case	p. 31
The group scheme [actual symbol not reproducible]	p. 32
The group schemes [actual symbol not reproducible]	p. 34
A smooth model of the big cell in G	p. 50
The group schemes [actual symbol not reproducible][Omega]	p. 61
The building in the quasi-split case	p. 67
The full apartment	p. 67
The groups U[Omega] and P[Omega]	p. 76
The definition of the building	p. 87
The building and its compactification	p. 98
The etale descent	p. 98
The full apartment in the general case	p. 118
The groups U[Omega] and P[Omega] in the general case	p. 122
The building in the general case	p. 126
The compactification of the building	p. 133
Example: SL[subscript n]	p. 148
References	p. 150
Index	p. 152
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

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