自由幂零李代数上的辛结构

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2011-11-14 DOI:10.3792/pjaa.95.88

V. Barco

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引用次数: 3

摘要

研究了自由幂零李代数上辛结构的存在性问题。给出了偶维问题的充分必要条件。讨论了奇维自由幂零李代数的一维中心扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Symplectic structures on free nilpotent Lie algebras

In this work we study the problem of existence of symplectic structures on free nilpotent Lie algebras. Necessary and sufficient conditions are given for even dimensional ones. The one dimensional central extension for odd dimensional free nilpotent Lie algebras is also considered.

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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.