Research Article

Complex-Clifford Tori and Special Complex Unitary Matrices

Volume: 10 Number: 1 March 1, 2020
EN TR

Complex-Clifford Tori and Special Complex Unitary Matrices

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 1, 2020

Submission Date

December 4, 2019

Acceptance Date

January 18, 2020

Published in Issue

Year 2020 Volume: 10 Number: 1

APA
Es, H. (2020). Complex-Clifford Tori and Special Complex Unitary Matrices. Journal of the Institute of Science and Technology, 10(1), 601-608. https://doi.org/10.21597/jist.655069
AMA
1.Es H. Complex-Clifford Tori and Special Complex Unitary Matrices. J. Inst. Sci. and Tech. 2020;10(1):601-608. doi:10.21597/jist.655069
Chicago
Es, Hasan. 2020. “Complex-Clifford Tori and Special Complex Unitary Matrices”. Journal of the Institute of Science and Technology 10 (1): 601-8. https://doi.org/10.21597/jist.655069.
EndNote
Es H (March 1, 2020) Complex-Clifford Tori and Special Complex Unitary Matrices. Journal of the Institute of Science and Technology 10 1 601–608.
IEEE
[1]H. Es, “Complex-Clifford Tori and Special Complex Unitary Matrices”, J. Inst. Sci. and Tech., vol. 10, no. 1, pp. 601–608, Mar. 2020, doi: 10.21597/jist.655069.
ISNAD
Es, Hasan. “Complex-Clifford Tori and Special Complex Unitary Matrices”. Journal of the Institute of Science and Technology 10/1 (March 1, 2020): 601-608. https://doi.org/10.21597/jist.655069.
JAMA
1.Es H. Complex-Clifford Tori and Special Complex Unitary Matrices. J. Inst. Sci. and Tech. 2020;10:601–608.
MLA
Es, Hasan. “Complex-Clifford Tori and Special Complex Unitary Matrices”. Journal of the Institute of Science and Technology, vol. 10, no. 1, Mar. 2020, pp. 601-8, doi:10.21597/jist.655069.
Vancouver
1.Hasan Es. Complex-Clifford Tori and Special Complex Unitary Matrices. J. Inst. Sci. and Tech. 2020 Mar. 1;10(1):601-8. doi:10.21597/jist.655069