Explicit Betti numbers for a family of nilpotent Lie algebras

被引：16

作者：

Armstrong, GF ^{[1
]}

Cairns, G ^{[1
]}

Jessup, B ^{[1
]}

机构：

[1] UNIV OTTAWA,DEPT MATH,OTTAWA,ON K1N 6N5,CANADA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 02期

关键词：

lie algebra; nilpotent; cohomology;

D O I：

10.1090/S0002-9939-97-03607-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Betti numbers for the Heisenberg Lie algebras were calculated by Santharoubane in his 1983 paper. However few other examples have appeared in the literature. In this note we give the Betti numbers for a family of (2n+1)-dimensional 2-step nilpotent extensions of R by R(2n).

引用

页码：381 / 385

页数：5