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- Mutation_(Jordan_algebra) abstract "In mathematics, a mutation, also called a homotope, of a unital Jordan algebra is a new Jordan algebra defined by a given element of the Jordan algebra. The mutation has a unit if and only if the given element is invertible, in which case the mutation is called a proper mutation or an isotope. Mutations were first introduced by Max Koecher in his Jordan algebraic approach to Hermitian symmetric spaces and bounded symmetric domains of tube type. Their functorial properties allow an explicit construction of the corresponding Hermitian symmetric space of compact type as a compactification of a finite-dimensional complex semisimple Jordan algebra. The automorphism group of the compactification becomes a complex subgroup, the complexification of its maximal compact subgroup. Both groups act transitively on the compactification. The theory has been extended to cover all Hermitian symmetric spaces using the theory of Jordan pairs or Jordan triple systems. Koecher obtained the results in the more general case directly from the Jordan algebra case using the fact that only Jordan pairs associated with period two automorphisms of Jordan algebras are required.".
- Mutation_(Jordan_algebra) wikiPageExternalLink 7056.
- Mutation_(Jordan_algebra) wikiPageExternalLink irvine.pdf.
- Mutation_(Jordan_algebra) wikiPageExternalLink 1118785795.
- Mutation_(Jordan_algebra) wikiPageExternalLink Meyberg(Reduced2).pdf.
- Mutation_(Jordan_algebra) wikiPageExternalLink icm1970.1.0279.0284.ocr.pdf.
- Mutation_(Jordan_algebra) wikiPageExternalLink books?isbn=0387954473.
- Mutation_(Jordan_algebra) wikiPageExternalLink 10.1007%2FBF01110558.
- Mutation_(Jordan_algebra) wikiPageExternalLink McCrimmon.
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- Mutation_(Jordan_algebra) wikiPageWikiLink American_Mathematical_Society.
- Mutation_(Jordan_algebra) wikiPageWikiLink Atlas_(topology).
- Mutation_(Jordan_algebra) wikiPageWikiLink Biholomorphism.
- Mutation_(Jordan_algebra) wikiPageWikiLink Cartans_criterion.
- Mutation_(Jordan_algebra) wikiPageWikiLink Category:Complex_manifolds.
- Mutation_(Jordan_algebra) wikiPageWikiLink Category:Lie_groups.
- Mutation_(Jordan_algebra) wikiPageWikiLink Category:Non-associative_algebras.
- Mutation_(Jordan_algebra) wikiPageWikiLink Complex_Lie_group.
- Mutation_(Jordan_algebra) wikiPageWikiLink Complex_manifold.
- Mutation_(Jordan_algebra) wikiPageWikiLink Complex_projective_space.
- Mutation_(Jordan_algebra) wikiPageWikiLink Complexification_(Lie_group).
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- Mutation_(Jordan_algebra) wikiPageWikiLink Jordan_algebra.
- Mutation_(Jordan_algebra) wikiPageWikiLink Killing_form.
- Mutation_(Jordan_algebra) wikiPageWikiLink Mathematics.
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- Mutation_(Jordan_algebra) wikiPageWikiLink Maximal_compact_subgroup.
- Mutation_(Jordan_algebra) wikiPageWikiLink Mutation_(algebra).
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- Mutation_(Jordan_algebra) wikiPageWikiLink Principal_bundle.
- Mutation_(Jordan_algebra) wikiPageWikiLink Quadratic_Jordan_algebra.
- Mutation_(Jordan_algebra) wikiPageWikiLink Riemann_sphere.
- Mutation_(Jordan_algebra) wikiPageWikiLink Shilov_boundary.
- Mutation_(Jordan_algebra) wikiPageWikiLink Siegel_domain.
- Mutation_(Jordan_algebra) wikiPageWikiLink Smooth_scheme.
- Mutation_(Jordan_algebra) wikiPageWikiLink Springer_Science+Business_Media.
- Mutation_(Jordan_algebra) wikiPageWikiLink Symmetric_cone.
- Mutation_(Jordan_algebra) wikiPageWikiLink Symplectic_group.
- Mutation_(Jordan_algebra) wikiPageWikiLink Symplectic_vector_space.
- Mutation_(Jordan_algebra) wikiPageWikiLink Triple_system.
- Mutation_(Jordan_algebra) wikiPageWikiLink University_of_Virginia.
- Mutation_(Jordan_algebra) wikiPageWikiLink Upper_half-plane.
- Mutation_(Jordan_algebra) wikiPageWikiLink Zariski_topology.
- Mutation_(Jordan_algebra) wikiPageWikiLinkText "Mutation (Jordan algebra)".
- Mutation_(Jordan_algebra) wikiPageWikiLinkText "Mutation (Jordan algebra)#Bergman operator".
- Mutation_(Jordan_algebra) wikiPageWikiLinkText "Mutation (Jordan algebra)#Hua's identity".
- Mutation_(Jordan_algebra) wikiPageWikiLinkText "mutations".
- Mutation_(Jordan_algebra) wikiPageUsesTemplate Template:Citation.
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- Mutation_(Jordan_algebra) wikiPageUsesTemplate Template:Math.
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- Mutation_(Jordan_algebra) wikiPageUsesTemplate Template:Reflist.
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- Mutation_(Jordan_algebra) subject Category:Complex_manifolds.
- Mutation_(Jordan_algebra) subject Category:Lie_groups.
- Mutation_(Jordan_algebra) subject Category:Non-associative_algebras.
- Mutation_(Jordan_algebra) hypernym Algebra.
- Mutation_(Jordan_algebra) type Thing.
- Mutation_(Jordan_algebra) comment "In mathematics, a mutation, also called a homotope, of a unital Jordan algebra is a new Jordan algebra defined by a given element of the Jordan algebra. The mutation has a unit if and only if the given element is invertible, in which case the mutation is called a proper mutation or an isotope. Mutations were first introduced by Max Koecher in his Jordan algebraic approach to Hermitian symmetric spaces and bounded symmetric domains of tube type.".
- Mutation_(Jordan_algebra) label "Mutation (Jordan algebra)".
- Mutation_(Jordan_algebra) seeAlso Kantor–Koecher–Tits_construction.
- Mutation_(Jordan_algebra) seeAlso Quadratic_Jordan_algebra.
- Mutation_(Jordan_algebra) seeAlso Structure_group_(Jordan_algebra).
- Mutation_(Jordan_algebra) seeAlso Symmetric_cone.
- Mutation_(Jordan_algebra) sameAs Q17099247.
- Mutation_(Jordan_algebra) sameAs m.0vpxq42.
- Mutation_(Jordan_algebra) sameAs Q17099247.
- Mutation_(Jordan_algebra) wasDerivedFrom Mutation_(Jordan_algebra)?oldid=681489689.
- Mutation_(Jordan_algebra) isPrimaryTopicOf Mutation_(Jordan_algebra).