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- Kostants_convexity_theorem abstract "In mathematics, Kostant's convexity theorem, introduced by Bertram Kostant (1973), states that the projection of every coadjoint orbit of a connected compact Lie group into the dual of a Cartan subalgebra is a convex set. It is a special case of a more general result for symmetric spaces. Kostant's theorem is a generalization of a result of Schur (1923), Horn (1954) and Thompson (1972) for hermitian matrices. They proved that the projection onto the diagonal matrices of the space of all n by n complex self-adjoint matrices with given eigenvalues Λ = (λ1, ..., λn) is the convex polytope with vertices all permutations of the coordinates of Λ. In fact this result is 'Kostant's linear convexity theorem'; the main focus of Kostant (1973) is Kostant's nonlinear convexity theorem which involves the Iwasawa projection rather than the linear projection to the dual of a Cartan subalgebra.Kostant used this to generalize the Golden–Thompson inequality to all compact groups.".
- Kostants_convexity_theorem wikiPageExternalLink item?id=ASENS_1973_4_6_4_413_0.
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- Kostants_convexity_theorem wikiPageRevisionID "667458019".
- Kostants_convexity_theorem wikiPageWikiLink Cartan_subalgebra.
- Kostants_convexity_theorem wikiPageWikiLink Category:Homogeneous_spaces.
- Kostants_convexity_theorem wikiPageWikiLink Category:Lie_algebras.
- Kostants_convexity_theorem wikiPageWikiLink Category:Lie_groups.
- Kostants_convexity_theorem wikiPageWikiLink Category:Mathematical_theorems.
- Kostants_convexity_theorem wikiPageWikiLink Coadjoint_orbit.
- Kostants_convexity_theorem wikiPageWikiLink Coadjoint_representation.
- Kostants_convexity_theorem wikiPageWikiLink Compact_Lie_group.
- Kostants_convexity_theorem wikiPageWikiLink Compact_group.
- Kostants_convexity_theorem wikiPageWikiLink Convex_set.
- Kostants_convexity_theorem wikiPageWikiLink Golden–Thompson_inequality.
- Kostants_convexity_theorem wikiPageWikiLink Identity_component.
- Kostants_convexity_theorem wikiPageWikiLink Jacobi_eigenvalue_algorithm.
- Kostants_convexity_theorem wikiPageWikiLink Maximal_torus.
- Kostants_convexity_theorem wikiPageWikiLink Restricted_Weyl_group.
- Kostants_convexity_theorem wikiPageWikiLink Restricted_root_system.
- Kostants_convexity_theorem wikiPageWikiLink Symmetric_space.
- Kostants_convexity_theorem wikiPageWikiLink Symplectic_manifold.
- Kostants_convexity_theorem wikiPageWikiLink Weyl_group.
- Kostants_convexity_theorem wikiPageWikiLinkText "Kostant's convexity theorem".
- Kostants_convexity_theorem authorlink "Bertram Kostant".
- Kostants_convexity_theorem first "Bertram".
- Kostants_convexity_theorem hasPhotoCollection Kostants_convexity_theorem.
- Kostants_convexity_theorem last "Kostant".
- Kostants_convexity_theorem wikiPageUsesTemplate Template:Citation.
- Kostants_convexity_theorem wikiPageUsesTemplate Template:Harvs.
- Kostants_convexity_theorem wikiPageUsesTemplate Template:Harvtxt.
- Kostants_convexity_theorem wikiPageUsesTemplate Template:Reflist.
- Kostants_convexity_theorem year "1973".
- Kostants_convexity_theorem subject Category:Homogeneous_spaces.
- Kostants_convexity_theorem subject Category:Lie_algebras.
- Kostants_convexity_theorem subject Category:Lie_groups.
- Kostants_convexity_theorem subject Category:Mathematical_theorems.
- Kostants_convexity_theorem hypernym Convex.
- Kostants_convexity_theorem type AnatomicalStructure.
- Kostants_convexity_theorem comment "In mathematics, Kostant's convexity theorem, introduced by Bertram Kostant (1973), states that the projection of every coadjoint orbit of a connected compact Lie group into the dual of a Cartan subalgebra is a convex set. It is a special case of a more general result for symmetric spaces. Kostant's theorem is a generalization of a result of Schur (1923), Horn (1954) and Thompson (1972) for hermitian matrices.".
- Kostants_convexity_theorem label "Kostant's convexity theorem".
- Kostants_convexity_theorem sameAs m.0p3j1dc.
- Kostants_convexity_theorem sameAs Q6433477.
- Kostants_convexity_theorem sameAs Q6433477.
- Kostants_convexity_theorem wasDerivedFrom Kostants_convexity_theoremoldid=667458019.
- Kostants_convexity_theorem isPrimaryTopicOf Kostants_convexity_theorem.