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Dergiler / 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
Sayfa
601–608
Yayın Tarihi
2020-03-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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).
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Temel Bulgular & Veri: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).
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Sonuç & Katkı:It is also obtained that the third homology group of complex 2-sphere S_C^2 equal to zero.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Real quaternion algebra · complexified quaternion algebra · complex-clifford tori

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.

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.

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Bu Makaleye Atıf Yap

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

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Kaynakça (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.