Öz
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.
Anahtar Kelimeler
Real quaternion algebra complexified quaternion algebra complex-clifford tori
Kaynakça
- Ata E, Yayli Y, 2009. Dual quaternions and dual projective spaces. Chaos, Solitons & Fractals, 40(3), 1255-1263.
- Bekar M, Yayli Y, 2013. Involutions of complexified quaternions and split quaternions. Advances in Applied Clifford Algebras, 23(2), 283-299.
- Chevalley C, 1946. Theory of Lie groups Princeton Univ. Press, Princeton, NJ-USA.
- 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).
- 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).
- Tait P G, 1890. An elementary treatise on quaternions. University Press, Michigan-USA.
- Toth G, 1998. Glimpses of algebra and geometry. Springer Science & Business Media, NY-USA.
Öz
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.
Anahtar Kelimeler
Real quaternion algebra complexified quaternion algebra complex-clifford tori
Kaynakça
- Ata E, Yayli Y, 2009. Dual quaternions and dual projective spaces. Chaos, Solitons & Fractals, 40(3), 1255-1263.
- Bekar M, Yayli Y, 2013. Involutions of complexified quaternions and split quaternions. Advances in Applied Clifford Algebras, 23(2), 283-299.
- Chevalley C, 1946. Theory of Lie groups Princeton Univ. Press, Princeton, NJ-USA.
- 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).
- 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).
- Tait P G, 1890. An elementary treatise on quaternions. University Press, Michigan-USA.
- Toth G, 1998. Glimpses of algebra and geometry. Springer Science & Business Media, NY-USA.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Gönderilme Tarihi | 4 Aralık 2019 |
| Kabul Tarihi | 18 Ocak 2020 |
| Yayımlanma Tarihi | 1 Mart 2020 |
| Yayımlandığı Sayı | Yıl 2020 Cilt: 10 Sayı: 1 |