THE MINIMAL NUMBER OF GENERATORS FOR FINITE-DIMENSIONAL CARTAN LIE SUPERALGEBRAS

被引：3

作者：

Tan, Liming ^{[1
]}

Liu, Wende ^{[2
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China

[2] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Hainan, Peoples R China

来源：

COLLOQUIUM MATHEMATICUM | 2019年 / 158卷 / 02期

关键词：

Cartan Lie superalgebra; generator; ALGEBRAS;

D O I：

10.4064/cm7628-11-2018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose the ground field is algebraically closed and of characteristic zero. We prove that any finite-dimensional Cartan Lie superalgebra is generated by one element. Combined with a result due to Albuquerque and Elduque for classical Lie superalgebras, this implies that any finite-dimensional Lie superalgebra is generated by one element.

引用

页码：305 / 312

页数：8

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