关于经典Z2×Z2-graded李代数

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-29 DOI:10.1063/5.0149175

N. I. Stoilova, J. Van der Jeugt

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引用次数: 0

摘要

我们根据经典李代数的定义矩阵构造了Z2×Z2-graded李代数类。对于A型的Z2×Z2-graded李代数，其构造与先前已知的类一致。对于B、C和D类型的Z2×Z2-graded李代数，我们的构造是新的，并产生了与经典矩阵密切相关但无疑不同的有趣定义矩阵。我们还给出了准统计的一些例子和可能的应用。

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On classical Z2×Z2-graded Lie algebras

We construct classes of Z2×Z2-graded Lie algebras corresponding to the classical Lie algebras in terms of their defining matrices. For the Z2×Z2-graded Lie algebra of type A, the construction coincides with the previously known class. For the Z2×Z2-graded Lie algebra of types B, C, and D, our construction is new and gives rise to interesting defining matrices closely related to the classical ones but undoubtedly different. We also give some examples and possible applications of parastatistics.

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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.