Tits polygons

We introduce the notion of a Tits polygon, a generalization of the notion of a Moufang polygon, and show that Tits polygons arise in a natural way from certain configurations of parabolic subgroups in an arbitrary spherical buildings satisfying the Moufang condition. We establish numerous basic prop...

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Bibliographische Detailangaben
Hauptverfasser: Mühlherr, Bernhard, Weiss, Richard, Petersson, Holger P.
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2022
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Buildings (Group theory)
Geometry > Finite geometry and special incidence structures > Buildings and the geometry of diagrams. msc
Geometry > Finite geometry and special incidence structures > Generalized quadrangles, generalized polygons. msc
Graph theory
Group theory and generalizations > Structure and classification of infinite or finite groups > Groups with a $BN$-pair; buildings. msc
Jordan algebras
Moufang loops
Nonassociative rings and algebras > Jordan algebras (algebras, triples and pairs) > Exceptional Jordan structures. msc
Polygons
descent
Moufang sets
Moufang polygons
buildings
ISBN:1470451018, 9781470451011
ISSN:0065-9266, 1947-6221
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We introduce the notion of a Tits polygon, a generalization of the notion of a Moufang polygon, and show that Tits polygons arise in a natural way from certain configurations of parabolic subgroups in an arbitrary spherical buildings satisfying the Moufang condition. We establish numerous basic properties of Tits polygons and characterize a large class of Tits hexagons in terms of Jordan algebras. We apply this classification to give a “rank
Bibliographie:January 2022, volume 275, number 1352 (sixth of 6 numbers)
Includes bibliographical references (p. 111-112)
ISBN:1470451018
9781470451011
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1352