The generating rank of the unitary and symplectic Grassmannians

被引：6

作者：

Blok, Rieuwert J. ^{[1
]}

Cooperstein, Bruce N. ^{[2
]}

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2012年 / 119卷 / 01期

关键词：

Unitary group; Hermitian form; Symplectic group; Grassmannian; Generating rank; Embedding; DUAL POLAR SPACES;

D O I：

10.1016/j.jcta.2011.07.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Grassmannian of totally isotropic k-spaces of the polar space associated to the unitary group SU2n (F) (n is an element of N) has generating rank ((2n)(k)) when F not equal F-4. We also reprove the main result of Blok (2007) [3], namely that the Grassmannian of totally isotropic k-spaces associated to the symplectic group Sp(2n)(F) has eneration ran ((2n)(k)) - ((2n)(k-2)), when Char (F) not equal 2. Published by Elsevier Inc.

引用

页码：1 / 13

页数：13

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