Geometry of Umbrella Matrices in Lorentz Space

IF 1.2 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-03-27 DOI:10.1007/s40010-025-00918-x

Mert Çarboğa, Yusuf Yaylı

引用次数: 0

Abstract

In this study, umbrella matrices in Lorentz space are examined for the first time in the context of Lie groups and Lie algebra. The relationship between the Euclidean and Lorentz Umbrella Lie groups is presented through a different approach, and a new dual transformation is defined between their Lie Algebra. In addition, the characterization of double-umbrella matrices is obtained using a different Lorentzian metric.

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洛伦兹空间中伞形矩阵的几何

本文首次在李群和李代数的背景下研究了洛伦兹空间中的伞矩阵。通过一种不同的方法给出了欧氏伞李群和洛伦兹伞李群之间的关系，并在它们的李代数之间定义了一种新的对偶变换。此外，利用不同的洛伦兹度量得到了双伞矩阵的表征。

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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