The strong Centre Conjecture: An invariant theory approach

JOURNAL OF ALGEBRA

卷:372

Article

Bate, Michael²  Martin, Benjamin³  Roehrle, Gerhard¹ 

[1] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[3] Univ Auckland, Dept Math, Auckland 1142, New Zealand

关键词: Spherical buildings;    Tits' Centre Conjecture;    Geometric Invariant Theory;   

DOI  :  10.1016/j.jalgebra.2012.09.027

来源: Elsevier

【 摘 要 】

The aim of this paper is to describe an approach to a strengthened form of J. Tits' Centre Conjecture for spherical buildings. This is accomplished by generalizing a fundamental result of G.R. Kempf from Geometric Invariant Theory and interpreting this generalization in the context of spherical buildings. We are able to recapture the conjecture entirely in terms of our generalization of Kempfs notion of a state. We demonstrate the utility of this approach by proving the Centre Conjecture in some special cases. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free