Complex structures on nilpotent Lie algebras with one-dimensional center

被引：5

作者：

Latorre, Adela ^{[1
]}

Ugarte, Luis ^{[2
]}

Villacampa, Raquel ^{[3
]}

机构：

[1] Univ Politecn Madrid, Dept Matemat Aplicada, Avda Juan Herrera 4, Madrid 28040, Spain

[2] Univ Zaragoza, Dept Matemat IUMA, Campus Plaza San Francisco, Zaragoza 50009, Spain

[3] Acad Gen Mil, Ctr Univ Def IUMA, Crta Huesca S-N, Zaragoza 50090, Spain

来源：

JOURNAL OF ALGEBRA | 2023年 / 614卷

关键词：

Nilpotent Lie algebra; Complex structure; Cohomology; DOLBEAULT COHOMOLOGY; NILMANIFOLDS; DEFORMATION; EXISTENCE; MANIFOLDS; STABILITY; METRICS;

D O I：

10.1016/j.jalgebra.2022.09.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the nilpotent Lie algebras of real dimension eight and minimal center that admit a complex structure. Further-more, for every such nilpotent Lie algebra g, we describe the space of complex structures on g up to isomorphism. As an application, the nilpotent Lie algebras having a non-trivial abelian J-invariant ideal are classified up to eight dimensions. (C) 2022 Elsevier Inc. All rights reserved.

引用

页码：271 / 306

页数：36

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