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- Cayley–Dickson_construction abstract "In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, 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. They are useful composition algebras frequently applied in mathematical physics.The Cayley–Dickson construction defines a new algebra based on the direct sum of an algebra with itself, with multiplication defined in a specific way and an involution known as conjugation. The product of an element and its conjugate (or sometimes the square root of this) is called the norm.The symmetries of the real field disappear as the Cayley–Dickson construction is repeatedly applied: first losing order, then commutativity of multiplication, and next associativity of multiplication.More generally, the Cayley–Dickson construction takes any algebra with involution to another algebra with involution of twice the dimension.".
- Cayley–Dickson_construction wikiPageExternalLink node5.html.
- Cayley–Dickson_construction wikiPageExternalLink hypercomplex.html.
- Cayley–Dickson_construction wikiPageExternalLink octonions.html.
- Cayley–Dickson_construction wikiPageExternalLink Quatern2.html.
- Cayley–Dickson_construction wikiPageID "175609".
- Cayley–Dickson_construction wikiPageLength "11101".
- Cayley–Dickson_construction wikiPageOutDegree "42".
- Cayley–Dickson_construction wikiPageRevisionID "707151150".
- Cayley–Dickson_construction wikiPageWikiLink *-algebra.
- Cayley–Dickson_construction wikiPageWikiLink Ad_infinitum.
- Cayley–Dickson_construction wikiPageWikiLink Algebra_over_a_field.
- Cayley–Dickson_construction wikiPageWikiLink Alternative_algebra.
- Cayley–Dickson_construction wikiPageWikiLink American_Mathematical_Society.
- Cayley–Dickson_construction wikiPageWikiLink Annals_of_Mathematics.
- Cayley–Dickson_construction wikiPageWikiLink Arthur_Cayley.
- Cayley–Dickson_construction wikiPageWikiLink Associative_property.
- Cayley–Dickson_construction wikiPageWikiLink Bitredeconion.
- Cayley–Dickson_construction wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Cayley–Dickson_construction wikiPageWikiLink Category:Hypercomplex_numbers.
- Cayley–Dickson_construction wikiPageWikiLink Commutative_property.
- Cayley–Dickson_construction wikiPageWikiLink Complex_conjugate.
- Cayley–Dickson_construction wikiPageWikiLink Complex_number.
- Cayley–Dickson_construction wikiPageWikiLink Composition_algebra.
- Cayley–Dickson_construction wikiPageWikiLink Dimension_(vector_space).
- Cayley–Dickson_construction wikiPageWikiLink Direct_sum.
- Cayley–Dickson_construction wikiPageWikiLink Dover_Publications.
- Cayley–Dickson_construction wikiPageWikiLink Field_(mathematics).
- Cayley–Dickson_construction wikiPageWikiLink Inverse_element.
- Cayley–Dickson_construction wikiPageWikiLink Involution_(mathematics).
- Cayley–Dickson_construction wikiPageWikiLink John_T._Graves.
- Cayley–Dickson_construction wikiPageWikiLink Leonard_Eugene_Dickson.
- Cayley–Dickson_construction wikiPageWikiLink Mathematical_physics.
- Cayley–Dickson_construction wikiPageWikiLink Mathematics.
- Cayley–Dickson_construction wikiPageWikiLink Norm_(mathematics).
- Cayley–Dickson_construction wikiPageWikiLink Normed_vector_space.
- Cayley–Dickson_construction wikiPageWikiLink Octonion.
- Cayley–Dickson_construction wikiPageWikiLink Ordered_pair.
- Cayley–Dickson_construction wikiPageWikiLink Power_associativity.
- Cayley–Dickson_construction wikiPageWikiLink Quaternion.
- Cayley–Dickson_construction wikiPageWikiLink Real_number.
- Cayley–Dickson_construction wikiPageWikiLink Sedenion.
- Cayley–Dickson_construction wikiPageWikiLink Vector_space.
- Cayley–Dickson_construction wikiPageWikiLink William_Rowan_Hamilton.
- Cayley–Dickson_construction wikiPageWikiLinkText "'''Cayley–Dickson multiplication laws'''".
- Cayley–Dickson_construction wikiPageWikiLinkText "Cayley–Dickson construction".
- Cayley–Dickson_construction wikiPageWikiLinkText "Cayley–Dickson construction".
- Cayley–Dickson_construction wikiPageUsesTemplate Template:Citation.
- Cayley–Dickson_construction wikiPageUsesTemplate Template:Harvtxt.
- Cayley–Dickson_construction wikiPageUsesTemplate Template:Main.
- Cayley–Dickson_construction wikiPageUsesTemplate Template:No_footnotes.
- Cayley–Dickson_construction wikiPageUsesTemplate Template:Number_Systems.
- Cayley–Dickson_construction wikiPageUsesTemplate Template:Reflist.
- Cayley–Dickson_construction subject Category:Hypercomplex_numbers.
- Cayley–Dickson_construction type Redirect.
- Cayley–Dickson_construction comment "In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, 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.".
- Cayley–Dickson_construction label "Cayley–Dickson construction".
- Cayley–Dickson_construction sameAs Q1756828.
- Cayley–Dickson_construction sameAs Construcció_de_Cayley-Dickson.
- Cayley–Dickson_construction sameAs Verdopplungsverfahren.
- Cayley–Dickson_construction sameAs Construcción_de_Cayley-Dickson.
- Cayley–Dickson_construction sameAs אלגברות_קיילי-דיקסון.
- Cayley–Dickson_construction sameAs Costruzione_di_Cayley-Dickson.
- Cayley–Dickson_construction sameAs ケーリー=ディクソンの構成法.
- Cayley–Dickson_construction sameAs 케일리-딕슨_구성.
- Cayley–Dickson_construction sameAs Cayley-Dickson-constructie.
- Cayley–Dickson_construction sameAs ਸੇਅਲੇਅ-ਡਿੱਕਸਨ_ਬਣਤਰ.
- Cayley–Dickson_construction sameAs m.017rwt.
- Cayley–Dickson_construction sameAs Процедура_Кэли_—_Диксона.
- Cayley–Dickson_construction sameAs Cayley-Dicksonova_konstrukcija.
- Cayley–Dickson_construction sameAs Процедура_Келі-Діксона.
- Cayley–Dickson_construction sameAs Q1756828.
- Cayley–Dickson_construction sameAs 凯莱-迪克森结构.
- Cayley–Dickson_construction wasDerivedFrom Cayley–Dickson_construction?oldid=707151150.
- Cayley–Dickson_construction isPrimaryTopicOf Cayley–Dickson_construction.