Real and Hyperbolic Matrices of Split Semi Quaternions

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Atıf İçin Kopyala

ALAGÖZ Y., Özyurt G.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.29, sa.3, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 29 Sayı: 3
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s00006-019-0973-0
• Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The aim of this paper is to investigate split semi quaternion matrices. To verify this, we first examine matrices with real split semi quaternion entries as a pair of hyperbolic matrices. Then, we present hyperbolic split semi quaternions and their matrices. Finally, for a hyperbolic split semi quaternion, we search some properties of its 2x2 matrix representation and we express 4x4 hyperbolic matrix and 8x8 real matrix representations.