Jordan algebras

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• Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… …   Wikipedia

• Jordan-Algebra — In der Mathematik heißt eine kommutative Algebra A eine Jordan Algebra, wenn für alle x,y aus A die sog. Jordan Identität x(x2y) = x2(xy) erfüllt ist. Eine alternative Definition ist x − 1(xy) = x(x − 1y) (x,y aus A, x invertierbar). D.h., A ist… …   Deutsch Wikipedia

• Jordan, Pascual — ▪ German physicist in full  Ernst Pascual Jordan   born Oct. 18, 1902, Hannover, Ger. died July 31, 1980, Hamburg       German theoretical physicist who was one of the founders of quantum mechanics and quantum field theory.       Jordan received… …   Universalium

• Jordan–Chevalley decomposition — In mathematics, the Jordan–Chevalley decomposition, named after Camille Jordan and Claude Chevalley (also known as Dunford decomposition, named after Nelson Dunford, as well as SN decomposition), expresses a linear operator as the sum of its… …   Wikipedia

• Pascual Jordan — Infobox Scientist name = Pascual Jordan box width = image size =150px caption = Pascual Jordan birth date = October 18, 1902 birth place = Hanover death date = July 31, 1980 death place = Hamburg residence = citizenship = nationality = Germany… …   Wikipedia

• Camille Jordan — Born January 5, 1838(1838 01 05) Lyon …   Wikipedia

• Pascual Jordan — Saltar a navegación, búsqueda Pascual Jordan (nacido el 18 de octubre de 1902 en Hanóver, Alemania; fallecido el 31 de julio de 1980 en Hamburgo, Alemania) fue un matemático y físico teórico que hizo significativas aportes a la Mecánica cuántica… …   Wikipedia Español

• Álgebra de Jordan — En álgebra abstracta, el álgebra de Jordan es un álgebra sobre un cuerpo (no necesariamente asociativa) cuya multiplicación satisface los siguientes axiomas: xy = yx (ley conmutativa) (xy)(xx) = x(y(xx)) (Identidad de Jordan). El producto de los… …   Wikipedia Español

• Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… …   Wikipedia

• Non-associative algebra — This article is about a particular non associative structure known as a non associative algebra. See also the article about non associativity in general. A non associative algebra[1] (or distributive algebra) over a field (or a ring) K is a K… …   Wikipedia

• Moufang polygon — In mathematics, a Moufang polygon, named after Ruth Moufang, is an irreducible building of rank two that admits the action of root groups. In a major book on the topic, Tits and Weiss[1] classify them all. An earlier theorem, proved independently …   Wikipedia