Galois involutions and exceptional buildings

Bernhard Mühlherr; Richard M. Weiss

doi:10.4171/lem/62-1/2-13

JournalslemVol. 62, No. 1/2pp. 207–260

Galois involutions and exceptional buildings

Bernhard Mühlherr
Universität Giessen, Germany
- MathSciNet
- zbMATH Open
Richard M. Weiss
Tufts University, Medford, USA
- MathSciNet

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Abstract

We apply the theory of descent for buildings to give elementary constructions of the exceptional buildings of type $A_{2}$ , $B_{2}$ , $C_{3}$ and $F_{4}$ as the fixed point building of a Galois involution of a building of type $E_{6}$ , $E_{7}$ or $E_{8}$ or, in one case, a pseudo-split building of type $F_{4}$ .

Cite this article

Bernhard Mühlherr, Richard M. Weiss, Galois involutions and exceptional buildings. Enseign. Math. 62 (2016), no. 1/2, pp. 207–260

DOI 10.4171/LEM/62-1/2-13