以丝状模为奇部的二次辛李超代数

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI:10.1063/5.0142935

Elisabete Barreiro, S. Benayadi, R. Navarro, José M. Sánchez

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引用次数: 0

摘要

本文对二次辛李超代数进行了深入的研究，得到了它们都是幂零的结论。因此，我们提供了低维的分类，并确定了维持辛结构的双扩展。利用二次辛李超代数的初等奇二重扩展和广义二重扩展，得到了对丝状二次辛李超代数的归纳描述。

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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Quadratic symplectic Lie superalgebras with a filiform module as an odd part

The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimensions and identify the double extensions that maintain symplectic structures. By means of both elementary odd double extensions and generalized double extensions of quadratic symplectic Lie superalgebras, we obtain an inductive description of quadratic symplectic Lie superalgebras of filiform type.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.