On the cohomology of a class of nilpotent Lie algebras

被引：14

作者：

Armstrong, GF ^{[1
]}

Sigg, S ^{[1
]}

机构：

[1] LA TROBE UNIV,SCH MATH,MELBOURNE,VIC 3083,AUSTRALIA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1996年 / 54卷 / 03期

关键词：

D O I：

10.1017/S0004972700021936

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let g denote a finite dimensional nilpotent Lie algebra over C containing an Abelian ideal a of codimension 1, with z is an element of g\a. We give a combinatorial description of the Betti numbers of g in term of the Jordan decomposition [GRAPHICS] induced by ad(z)\(a). As an application we prove that the filiform-nilpotent Lie algebras arising in the case t = 1 have unimodal Betti numbers.

引用

页码：517 / 527

页数：11

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