${\cal O}({\mathbb C}_{h}^{1\vert1})$的扩展演算

IF 0.8 4区数学 Q2 MATHEMATICS Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI:10.55730/1300-0098.3456

SALİH ÇELİK

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引用次数: 0

摘要

在$h$变形的超平面上给出了函数代数的扩展演算。为此，我们在$h$变形的超平面上，通过添加内导数，扩展了$(h_1,h_2)$变形的微分学。我们用R矩阵重新表述了结果，并给出了楔形积的张量积实现。我们还通过一个收缩来讨论卡坦微积分。

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Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$

We give an extended calculus over the function algebra on $h$-deformed superplane. For this, we extend the $(h_1,h_2)$-deformed differential calculus on the $h$-deformed superplane by adding inner derivations. We reformulate the results with an $R$-matrix and present the tensor product realization of the wedge product. We also discuss Cartan calculus via a contraction.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.

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