Geometry of Umbrella Matrices in Lorentz Space

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Çarboğa M., YAYLI Y.

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, cilt.95, sa.2, ss.201-210, 2025 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 95 Sayı: 2
• Basım Tarihi: 2025
• Doi Numarası: 10.1007/s40010-025-00918-x
• Dergi Adı: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
• Sayfa Sayıları: ss.201-210
• Anahtar Kelimeler: Lie algebra, Lie groups, Lorentzian geometry, Stochastic matrix, Umbrella matrix
• Ankara Üniversitesi Adresli: Evet

Özet

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.