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8 - Some combinatorial and geometric constructions of spherical buildings

Published online by Cambridge University Press:  17 June 2019

By
Hendrik Van Maldeghem  and
Magali Victoor
Edited by
Allan Lo ,
Richard Mycroft ,
Guillem Perarnau  and
Andrew Treglown
Allan Lo
Affiliation:
University of Birmingham
Richard Mycroft
Affiliation:
University of Birmingham
Guillem Perarnau
Affiliation:
Universitat Politècnica de Catalunya, Barcelona
Andrew Treglown
Affiliation:
University of Birmingham
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Summary

We survey some known and new combinatorial and geometric constructions of the Lie incidence geometries related to some spherical buildings, in particular of some exceptional types.

Keywords

incidence goemetriesspherical buildingsLie incidence geometriesCoxeter systemsCoxeter complexes
Type
Chapter
Information
Surveys in Combinatorics 2019 , pp. 237 - 265
Publisher: Cambridge University Press
Print publication year: 2019

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