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.

Bibliographic Information

Book Title: A Compactification of the Bruhat-Tits Building
Authors: Erasmus Landvogt
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0094594
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
Softcover ISBN: 978-3-540-60427-3Published: 17 November 1995
eBook ISBN: 978-3-540-45556-1Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 160
Topics: Group Theory and Generalizations

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Table of contents (5 chapters)

Front Matter

Introduction

The apartment

The o K -group schemes in the quasi-split case

The building in the quasi-split case

The building and its compactification

Back Matter

Keywords

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The o _K-group schemes in the quasi-split case