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In mathematics, the Cayley–Dickson construction, sometimes also known as the Cayley–Dickson process or the Cayley–Dickson procedure produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. It is named after Arthur Cayley and Leonard Eugene Dickson. The algebras produced by this process are known as Cayley–Dickson algebras, for example complex numbers, quaternions, and octonions. These examples are useful composition algebras frequently applied in mathematical physics.
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References
- 1 2 Deffke, Uta. "The octave magician: Nichol (Cohl) Furey is a researcher at IRIS Adlershof". adlershof.de. Berlin: Adlershof Journal.
- 1 2 3 Wolchover, Natalie (July 20, 2018). "The Peculiar Math That Could Underlie the Laws of Nature". Archived from the original on 21 March 2022.
- ↑ Wolchover, Natalie (December 21, 2018). "The Year in Physics". Archived from the original on 24 April 2022.
- ↑ "N. Furey - CV" (PDF). Retrieved 2023-08-13.
- ↑ "Women in STEM: Dr Cohl Furey; University of Cambridge". April 24, 2022. Archived from the original on 24 April 2022.
- ↑ "Project description: In-depth study into the algebraic structure of elementary particle physics". VolkswagenStiftung. Retrieved 2023-08-13.
- 1 2 Furey, Cohl (2012-07-20). "Unified theory of ideals". Physical Review D . 86 (2): 025024. arXiv: 1002.1497 . Bibcode:2012PhRvD..86b5024F. doi:10.1103/PhysRevD.86.025024. S2CID 118458623.
- ↑ Furey, C. J. (2014-10-07). "Generations: three prints, in colour". Journal of High Energy Physics . 2014 (10): 46. arXiv: 1405.4601 . Bibcode:2014JHEP...10..046F. doi:10.1007/JHEP10(2014)046. S2CID 13813401.
- 1 2 Furey, Cohl (2018-10-10). "Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra". Physics Letters B . 785: 84–89. arXiv: 1910.08395 . Bibcode:2018PhLB..785...84F. doi:10.1016/j.physletb.2018.08.032. S2CID 126205768.
- ↑ Furey, Cohl (2018-05-12). "SU(3)C × SU(2)L × U(1)Y (× U(1)X) as a symmetry of division algebraic ladder operators". European Physical Journal C. 78 (5): 375. arXiv: 1806.00612 . doi:10.1140/epjc/s10052-018-5844-7. PMC 6435233 . PMID 30996664.
- ↑ Brooks, Michael (August 2022). "Octonions: The strange maths that could unite the laws of nature (=Reality's hidden depths)". New Scientist. 255 (3400): 38–41. doi:10.1016/S0262-4079(22)01494-4.
- ↑ Dreyfuss, Emily (March 8, 2019). "10 Women in Science and Tech Who Should Be Household Names; WIRED". Archived from the original on 8 March 2022.
