A computer-based approach to the classification of nilpotent Lie algebras

被引：19

作者：

Schneider, C ^{[1
]}

机构：

[1] Hungarian Acad Sci, Informat Lab, Comp & Automat Res Inst, H-1518 Budapest, Hungary

来源：

EXPERIMENTAL MATHEMATICS | 2005年 / 14卷 / 02期

关键词：

nilpotent Lie algebras; classifications; immediate descendants; covers; Lie algebra generation algorithm;

D O I：

10.1080/10586458.2005.10128917

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We adapt the p-group generation algorithm to classify small-dimensional nilpotent Lie algebras over small fields. Using an implementation of this algorithm, we list the nilpotent Lie algebras of dimension up to 9 over F-2 and those of dimension up to 7 over F-3 and F-5.

引用

页码：153 / 160

页数：8

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