Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras

被引：0

作者：

Cairns, Grant ^{[1
]}

Galic, Ana Hinic ^{[1
]}

Nikolayevsky, Yuri ^{[1
]}

机构：

[1] La Trobe Univ, Dept Math & Stat, Bundoora, Vic 3086, Australia

来源：

关键词：

Lie algebra; nilpotent; filiform; totally geodesic subalgebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.

引用

页码：1051 / 1074

页数：24

共 7 条

[1]

Cairns G., NOTE MATEMA IN PRESS

[2]

Cairns G, 2013, J LIE THEORY, V23, P1023

[3]

Fialowski A., 1983, VESTN MOSK U MAT M+, V38, P76

[4]

HAKIMJANOV YB, 1991, GEOMETRIAE DEDICATA, V40, P269

[5] THE GEOMETRY OF FILIFORM NILPOTENT LIE GROUPS [J].

Kerr, Megan M. ;

Payne, Tracy L. .

[6] On class of Lie algebras of infinite dimension [J].

Khakimdjanova, K ;

Khakimdjanov, Y .

[7]

Millionschikov D., 2004, AM MATH SOC TRANSL 2, V212, P259