SavedAdd your journal

Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 10 Sayı: 1

Complex-Clifford Tori and Special Complex Unitary Matrices

Hasan Es(GAZİ ÜNİVERSİTESİ, GAZİ EĞİTİM FAKÜLTESİ)0000-0002-7732-8173
Pages
601–608
Publication Date
2020-03-01
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is also obtained that the third homology group of complex 2-sphere S_C^2 equal to zero.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, parallels of latitude and meridians of longitude in S_C^3 are identified via the special complex unitary matrices 〖SU〗_C (2).
📊
Key Findings & Data:In this paper, parallels of latitude and meridians of longitude in S_C^3 are identified via the special complex unitary matrices 〖SU〗_C (2).
💡
Conclusion & Impact:It is also obtained that the third homology group of complex 2-sphere S_C^2 equal to zero.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Real quaternion algebra · complexified quaternion algebra · complex-clifford tori

Abstract

In this paper, parallels of latitude and meridians of longitude in S_C^3 are identified via the special complex unitary matrices 〖SU〗_C (2). It is also obtained that the third homology group of complex 2-sphere S_C^2 equal to zero.

Özet

In this paper, parallels of latitude and meridians of longitude in S_C^3 are identified via the special complex unitary matrices 〖SU〗_C (2). It is also obtained that the third homology group of complex 2-sphere S_C^2 equal to zero.

🔖

Cite This Article

Es, H. (2020). Complex-Clifford Tori and Special Complex Unitary Matrices. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 10 Sayı: 1, 601–608. https://doi.org/10.21597/jist.655069

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (7)

  1. Ata E, Yayli Y, 2009. Dual quaternions and dual projective spaces. Chaos, Solitons & Fractals, 40(3), 1255-1263.
  2. Bekar M, Yayli Y, 2013. Involutions of complexified quaternions and split quaternions. Advances in Applied Clifford Algebras, 23(2), 283-299.
  3. Chevalley C, 1946. Theory of Lie groups Princeton Univ. Press, Princeton, NJ-USA.
  4. Hamilton W R, 1844. On a new species of imaginary quantities connected with a theory of quaternions. In Proceedings of the Royal Irish Academy (Vol. 2, No. 424-434, pp. 4-1).
  5. Hamilton W R, 1853. Chapter VI in: Lectures on Quaternions. Hodges and Smith, Dublin, Available online at Cornell University Library: http://historical.library.cornell.edu/math/. (Date of access: 16 June 2019).
  6. Tait P G, 1890. An elementary treatise on quaternions. University Press, Michigan-USA.
  7. Toth G, 1998. Glimpses of algebra and geometry. Springer Science & Business Media, NY-USA.