Generation of the symplectic group by involutions

被引：7

作者：

Ellers, Erich W. ^{[1
]}

Villa, Oliver ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, 40 St George St, Toronto, ON M5S 2E4, Canada

[2] Univ Appl Sci & Arts Southern Switzerland, SUPSI, CH-6928 Manno, Switzerland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 591卷

关键词：

Classical groups; Symplectic group; Involutions; PRODUCT; MATRIX;

D O I：

10.1016/j.laa.2020.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (V, b) be a symplectic space over a field where -1 is a square. Then, except for small dimensions, every element in the symplectic group Sp(V) is a product of 6 or fewer involutions. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：154 / 159

页数：6

共 7 条

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Artin E., 1988, GEOMETRIC ALGEBRA

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Awa, Dominic ;

John de la Cruz, Ralph .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 589 :85-95

[3]

ELLERS EW, 1982, ARCH MATH, V39, P113, DOI 10.1007/BF01899190

[4] Each symplectic matrix is a product of four symplectic involutions [J].

John de la Cruz, Ralph .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 466 :382-400

[5]

OFarrell A.G., 2015, LONDON MATH SOC LECT, V416

[6]

OMeara O. T., 1978, MATH SURVEYS, V16

[7]

WONENBURGER MJ, 1966, J MATH MECH, V16, P327

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