๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Affine Extensions of Generalized Polygons

โœ Scribed by John van Bon; Hans Cuypers

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
224 KB
Volume
20
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

โœฆ Synopsis

We study extensions of generalized polygons by affine planes and obtain a geometric characterization of the natural seven-dimensional linear representation of a group of type G 2 and the eightdimensional spin representation of a group of type B 3 . If k is a perfect field of even characteristic, then the natural seven-dimensional k-module of G 2 (k) is reducible and admits a six-dimensional quotient. For finite fields k of even characteristic we give a characterization of this module.

๐Ÿ“œ SIMILAR VOLUMES

Some Constructions of Small Generalized
Some Constructions of Small Generalized Polygons
โœ Burkard Polster; Hendrik Van Maldeghem ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 315 KB

We present several new constructions for small generalized polygons using small projective planes together with a conic or a unital, using other small polygons, and using certain graphs such as the Coxeter graph and the Pappus graph. We also give a new construction of the tilde geometry using the Pe

Isotopy of Polygonal Domains for General
Isotopy of Polygonal Domains for Generalized Polygons
โœ M. Joswig ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 163 KB

We examine the relationship between collineations of generalized polygons and certain 'symmetries' of their coordinating structures.

Shortcomings of Generalized Affine Invar
Shortcomings of Generalized Affine Invariant Skewness Measures
โœ Steffen Gutjahr; Norbert Henze; Martin Folkers ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

This paper studies the asymptotic behavior of a generalization of Mardia's affine invariant measure of (sample) multivariate skewness. If the underlying distribution is elliptically symmetric, the limiting distribution is a finite sum of weighted independent / 2 -variates, and the weights are determ

A review of some extensions to generaliz
A review of some extensions to generalized linear models
โœ J. K. Lindsey ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 137 KB ๐Ÿ‘ 2 views

Although generalized linear models are reasonably well known, they are not as widely used in medical statistics as might be appropriate, with the exception of logistic, log-linear, and some survival models. At the same time, the generalized linear modelling methodology is decidedly outdated in that