Valuations and hyperplanes of dual polar spaces

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:112

Article

De Bruyn, B ; Vandecasteele, P

关键词: dual polar space;    near polygon;    hyperplane;   

DOI  :  10.1016/j.jcta.2005.02.001

来源: Elsevier

【 摘 要 】

Valuations; were introduced in De Bruyn and Vandecasteele (Valuations of near polygons, preprint, 2004) as a very important tool. for classifying near polygons. In the present paper we study valuations of dual polar spaces. We will introduce the class of the SDPS-valuations and characterize these valuations. We will show. that a valuation of a finite thick dual polar space is the extension of an SIPS-valuation if and only if no induced hex valuation is ovoidal or semi-classical. Each SDPS-valuation will also give rise to a geometric hyperplane of the dual polar, space. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free