Cayley algebra

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• Cayley-Algebra —   [ keɪlɪ ; nach A. Cayley], eine nichtassoziative Algebra über dem Körper der reellen Zahlen, deren als Cayley Zahlen bezeichnete Elemente als Linearkombinationen von 8 Basiselementen (mit den reellen Zahlen als Koeffizienten) gebildet werden …   Universal-Lexikon

• Grassmann–Cayley algebra — is a form of modelling algebra for projective geometry, based on work by German mathematician Hermann Grassmann on exterior algebra, and, subsequently, by British mathematician Arthur Cayley s work on matrices and linear algebra. It is also known …   Wikipedia

• Cayley — may refer to:*Arthur Cayley (1821–1895), British mathematician *Charles Bagot Cayley (1823–1883), British linguist and friend of Christina Rossetti *George Cayley (1773–1857), English naturalist, physical scientist, engineer, inventor, politician …   Wikipedia

• Cayley — (spr. kēli), Artur, Mathematiker, geb. 16. Aug. 1821 zu Richmond in der Grafschaft Surrey, gest. 26. Jan. 1895 in Cambridge, studierte in London und Cambridge und erhielt 1863 eine Professur in Cambridge. Er arbeitete besonders auf dem Gebiete… …   Meyers Großes Konversations-Lexikon

• algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …   Universalium

• Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… …   Wikipedia

• Cayley–Dickson construction — In mathematics, the Cayley–Dickson construction produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. The algebras produced by this process are known as Cayley–Dickson algebras; since… …   Wikipedia

• Cayley, Arthur — ▪ British mathematician born August 16, 1821, Richmond, Surrey, England died January 26, 1895, Cambridge, Cambridgeshire  English mathematician and leader of the British school of pure mathematics that emerged in the 19th century. The interested… …   Universalium

• Álgebra sobre un cuerpo — En matemáticas, un álgebra sobre un cuerpo K, o una K álgebra, es un espacio vectorial A sobre K equipado con una noción compatible de multiplicación de elementos de A. Una generalización directa admite que K sea cualquier anillo conmutativo.… …   Wikipedia Español

• algebra, linear — Introduction       mathematical discipline that deals with vectors (vector) and matrices (matrix) and, more generally, with vector spaces (vector space) and linear transformations. Unlike other parts of mathematics that are frequently invigorated …   Universalium

• Cayley-Hamilton — Théorème de Cayley Hamilton Pour les articles homonymes, voir Hamilton. En algèbre linéaire, le théorème de Cayley Hamilton (qui porte les noms des mathématiciens Arthur Cayley et William Hamilton) affirme que tout endomorphisme d un espace… …   Wikipédia en Français