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In this paper, we establish a complex matrix representation of the Clifford algebra Cℓp,q. The size of our representation is significantly smaller than the size of the elements in Lp,q(ℝ). Additionally, we give detailed information about the spectrum of the constructed matrix representation.

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참고문헌 (10건) : 자료제공( 네이버학술정보 )

참고문헌 목록에 대한 테이블로 번호, 참고문헌, 국회도서관 소장유무로 구성되어 있습니다.
번호 참고문헌 국회도서관 소장유무
1 A. H. Bilge, Ko¸cak, and S. U˘guz, Canonical bases for real representations of Clifford algebras, Linear Algebra Appl. 419 (2006), no. 2-3, 417–439. https://doi.org/10.1016/j.laa.2006.01.034 미소장
2 Y. Brihaye, P. Maslanka, S. Giler, and P. Kosinsk, Real representations of Clifford algebras, J. Math. Phys. 33 (1992), no. 5, 1579–1581. https://doi.org/10.1063/1. 529682 미소장
3 G. N. Hile and P. Lounesto, Matrix representations of Clifford algebras, Linear Algebra Appl. 128 (1990), 51–63. https://doi.org/10.1016/0024-3795(90)90282-H 미소장
4 R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985. https://doi.org/10.1017/CBO9780511810817 미소장
5 D. Lee and Y. Song, Extension of algebras and its applications to the real Clifford algebras, Linear Multilinear Algebra 64 (2016), no. 11, 2241–2251. https://doi.org/10.1080/03081087.2016.1147525 미소장
6 C. P. Poole, Jr., and H. A. Farach, Pauli-Dirac matrix generators of Clifford algebras, Found. Phys. 12 (1982), no. 7, 719–738. https://doi.org/10.1007/BF00729808 미소장
7 Y. Song and D. Lee, A construction of matrix representation of Clifford algebras, Adv. Appl. Clifford Algebr. 25 (2015), no. 3, 719–731. https://doi.org/10.1007/s00006-014-0521-x 미소장
8 Y. Song and D. Lee, Vector generators of the real Clifford algebras, Linear Multilinear Algebra 63(2015), no. 12, 2448–2460. https://doi.org/10.1080/03081087.2015.1018812 미소장
9 Y. Tian, Universal similarity factorization equalities over real Clifford algebras, Adv. Appl. Clifford Algebras 8 (1998), no. 2, 365–402. https://doi.org/10.1007/BF03043105 미소장
10 F. Zhang, Gerˇsgorin type theorems for quaternionic matrices, Linear Algebra Appl. 424(2007), no. 1, 139–153. https://doi.org/10.1016/j.laa.2006.08.004 미소장

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