CONTACT NILPOTENT LIE ALGEBRAS

被引：15

作者：

Alvarez, M. A. ^{[1
]}

Rodriguez-Vallarte, M. C. ^{[2
]}

Salgado, G. ^{[2
]}

机构：

[1] Univ Antofagasta, Dept Matemat, Antofagasta, Chile

[2] UASLP, Fac Ciencias, Av Salvador Nava S-nZona Univ, San Luis Potosi 78290, Mexico

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 04期

关键词：

SUPERALGEBRAS;

D O I：

10.1090/proc/13341

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we show that for n >= 1, every finite (2n + 3)dimensional contact nilpotent Lie algebra g can be obtained as a double extension of a contact nilpotent Lie algebra h of codimension 2. As a consequence, for n >= 1, every (2n + 3)-dimensional contact nilpotent Lie algebra g can be obtained from the 3-dimensional Heisenberg Lie algebra h(3), by applying a finite number of successive series of double extensions. As a byproduct, we obtain an alternative proof of the fact that a (2n + 1)-nilpotent Lie algebra g is a contact Lie algebra if and only if it is a central extension of a nilpotent symplectic Lie algebra.

引用

页码：1467 / 1474

页数：8

共 15 条

[11]

KAC V. G., 1990, INFINITE DIMENSIONAL, VThird, DOI DOI 10.1017/CBO9780511626234

[12] Invariant contact structures on 7-dimensional nilmanifolds [J].