Split buildings of type F₄ in buildings of type E₆

Autor:	De Schepper, Anneleen, Sastry, NS Narasimha, Van Maldeghem, Hendrik
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	LIE TYPE Mathematics and Statistics SUBGROUPS Point-line Symplectic polarity Buildings of exceptional type geometries Metasymplectic spaces Mathematics::Symplectic Geometry EXCEPTIONAL GROUPS
Zdroj:	ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
ISSN:	0025-5858 1865-8784
Popis:	A symplectic polarity of a building of type is a polarity whose fixed point structure is a building of type containing residues isomorphic to symplectic polar spaces (i.e., so-called split buildings of type ). In this paper, we show in a geometric way that every building of type contains, up to conjugacy, a unique class of symplectic polarities. We also show that the natural point-line geometry of each split building of type fully embedded in the natural point-line geometry of arises from a symplectic polarity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od_______330::2cbe351f8a17f4f45b8332f037381515 https://biblio.ugent.be/publication/8566707 Zobrazit plný text záznamu Full text from SpringerLink