A Compactification of the Bruhat-Tits Building

Landvogt, Erasmus.

A Compactification of the Bruhat-Tits Building [electronic resource] / by Erasmus Landvogt. - VIII, 160 p. online resource. - Lecture Notes in Mathematics, 1619 0075-8434 ; . - Lecture Notes in Mathematics, 1619 .

The apartment -- The o K -group schemes in the quasi-split case -- The building in the quasi-split case -- The building and its compactification.

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.

9783540455561

10.1007/BFb0094594 doi


Group theory.
Group Theory and Generalizations.

QA174-183

512.2
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