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Cayley numbers (Algebra)

LC control no.sh2002008702
Topical headingCayley numbers (Algebra)
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Variant(s)Cayley octave (Algebra)
Cayley's numbers (Algebra)
Cayley's octave (Algebra)
See alsoCayley algebras
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Found inWork cat.: 2002035555: On quaternions and octonions, c2002: CIP introd. (developed by John T. Graves in 1843-44 but first publ. in 1845 by Cayley, octonions were known as Cayley numbers)
CRC concise encyc. math. (Cayley number: (1) one of the eight elements in a Cayley algebra, also known as an octonion, having the form (a + bi₀ + ci₁ + di₂ + ei₃ + fi₄ + gi₅ + hi₆) where each of the triplets (i₀,i₁,i₃), (i₁,i₂,i₄) etc. behaves like the quaternions (i,j,k)); (2) the second type of Cayley number is a quantity which describes a Del Pezzo surface)
Eisenreich. Mathematik (Cayley['s] numbers; Cayley['s] octave; AL)
Encyc. dict. math.: under Cayley algebras (the elements of a general Cayley algebra are called Cayley numbers)
Acad. Press dict. sci. tech.: Cayley numbers (an older term for the elements of a Cayley algebra)