SOME NILPOTENT LIE-ALGEBRAS OF EVEN DIMENSION

被引：12

作者：

SEELEY, C ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,DEPT MATH IAS,CANBERRA,ACT 2601,AUSTRALIA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1992年 / 45卷 / 01期

关键词：

D O I：

10.1017/S0004972700037023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each even dimension greater than or equal to 8, an infinite family of 3-step nilpotent Lie algebras over C is constructed. In dimension m, the family contains isomorphism classes parameterised locally by approximately m3/48 essential parameters. One particular case is studied further to get some global information about the variety of all nilpotent Lie algebras of dimension 8. Using the results obtained here, and some known facts, it is shown that there is a component consisting of algebras not having minimal possible central dimensions.

引用

页码：71 / 77

页数：7

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