Construction of nice nilpotent Lie groups

被引：13

作者：

Conti, Diego ^{[1
]}

Rossi, Federico A. ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

来源：

JOURNAL OF ALGEBRA | 2019年 / 525卷

关键词：

Nilpotent Lie groups; Nice Lie algebras; NILMANIFOLDS; SOLITON; METRICS;

D O I：

10.1016/j.jalgebra.2019.01.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension n up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for n <= 9. On every nilpotent Lie algebra of dimension <= 7, we determine the number of inequivalent nice bases, which can be 0, 1, or 2. We show that any nilpotent Lie algebra of dimension n has at most countably many inequivalent nice bases. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：311 / 340

页数：30

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