关于伪厄密二次幂零李代数

Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari
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引用次数: 0

摘要

摘要研究了具有复结构的幂零李代数和具有给定复结构的伪厄密二次结构的幂零李代数。我们提出了几种构造这类李代数的方法,并描述了一种平面双扩展的方法,得到了它们的归纳描述。作为应用,我们给出了度量为lorenz - hermite的幂零二次李代数的完全分类,并对8维以下的所有幂零伪厄米二次李代数及其等价伪厄米李代数进行了完全分类。
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On pseudo-Hermitian quadratic nilpotent lie algebras
Abstract We study nilpotent Lie algebras endowed with a complex structure and a quadratic structure which is pseudo-Hermitian for the given complex structure. We propose several methods to construct such Lie algebras and describe a method of double extension by planes to get an inductive description of all of them. As an application, we give a complete classification of nilpotent quadratic Lie algebras where the metric is Lorentz-Hermitian and we fully classify all nilpotent pseudo-Hermitian quadratic Lie algebras up to dimension 8 and their inequivalent pseudo-Hermitian metrics.
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来源期刊
CiteScore
1.20
自引率
0.00%
发文量
56
期刊介绍: The Journal "Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry" was founded in 1971 on the occasion of the 65th birthday of O.-H. Keller. It publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields, preferably in English language. The back issues of the journal are available at the European Digital Mathematics Library (EuDML) at: https://eudml.org/journal/10170 (Vols. 1-33, 1971-1992) https://eudml.org/journal/10084 (Vols. 34-51, 1993-2010)
期刊最新文献
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