@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-XZ1PX8C3-D
  skos:prefLabel "espace affine"@fr, "affine space"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-RSS68597-V
  skos:prefLabel "hyperbolic space"@en, "espace hyperbolique"@fr ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-L27B9Q1Z-M
  skos:prefLabel "espace symétrique hermitien"@fr, "Hermitian symmetric space"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-XS63QZ07-V
  skos:prefLabel "Kostant's convexity theorem"@en, "théorème de la convexité de Kostant"@fr ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr: a skos:ConceptScheme .
psr:-T2KX6KGR-6
  skos:prefLabel "Euclidean space"@en, "espace euclidien"@fr ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-WNGTW1LT-J
  skos:prefLabel "generalized flag variety"@en, "variété de drapeaux généralisée"@fr ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-W6ZMNFR0-1
  skos:prefLabel "variété d'Iwasawa"@fr, "Iwasawa manifold"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-R1XTRSBL-Q
  skos:prefLabel "variété de Stiefel"@fr, "Stiefel manifold"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-XCNHTQ09-M
  skos:prefLabel "espace complexe hyperbolique"@fr, "hyperbolic complex space"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-M3NJVVTK-V
  skos:broader psr:-LCG3ZWKT-0, psr:-RMQ1RP9W-P ;
  skos:prefLabel "espace homogène"@fr, "homogeneous space"@en ;
  skos:narrower psr:-XCNHTQ09-M, psr:-T2KX6KGR-6, psr:-L27B9Q1Z-M, psr:-SLL602JL-J, psr:-XS63QZ07-V, psr:-Q8T0JSP7-0, psr:-WNGTW1LT-J, psr:-JPS13M7S-S, psr:-RSS68597-V, psr:-R1XTRSBL-Q, psr:-XZ1PX8C3-D, psr:-PN64B2Q9-R, psr:-W6ZMNFR0-1, psr:-SKWG4H6X-1, psr:-GZPZT00T-6 ;
  dc:modified "2023-08-23"^^xsd:date ;
  skos:definition """In mathematics, a homogeneous space is, very informally, a space that looks the same everywhere, as you move through it, with movement given by the action of a group. Homogeneous spaces occur in the theories of Lie groups, algebraic groups and topological groups. More precisely, a homogeneous space for a group <i>G</i> is a non-empty manifold or topological space <i>X</i> on which <i>G</i> acts transitively. The elements of <i>G</i> are called the symmetries of <i>X</i>. A special case of this is when the group <i>G</i> in question is the automorphism group of the space <i>X</i> – here "automorphism group" can mean isometry group, diffeomorphism group, or homeomorphism group. In this case, <i>X</i> is homogeneous if intuitively <i>X</i> looks locally the same at each point, either in the sense of isometry (rigid geometry), diffeomorphism (differential geometry), or homeomorphism (topology). Some authors insist that the action of <i>G</i> be faithful (non-identity elements act non-trivially), although the present article does not. Thus there is a group action of <i>G</i> on <i>X</i> which can be thought of as preserving some "geometric structure" on <i>X</i>, and making <i>X</i> into a single <i>G</i>-orbit. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Homogeneous_space">https://en.wikipedia.org/wiki/Homogeneous_space</a>)"""@en, """En géométrie, un espace homogène est un espace sur lequel un groupe agit de façon transitive. Dans l'optique du programme d'Erlangen, le groupe représente des symétries préservant la géométrie de l'espace, et le caractère homogène se manifeste par l'indiscernabilité des points, et exprime une notion d'isotropie. Les éléments de l'espace forment une seule orbite selon <i>G</i>. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Espace_homog%C3%A8ne">https://fr.wikipedia.org/wiki/Espace_homog%C3%A8ne</a>)"""@fr ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Homogeneous_space>, <https://fr.wikipedia.org/wiki/Espace_homog%C3%A8ne> ;
  a skos:Concept ;
  skos:inScheme psr: .

psr:-PN64B2Q9-R
  skos:prefLabel "espace homogène principal"@fr, "principal homogeneous space"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-JPS13M7S-S
  skos:prefLabel "grassmannienne"@fr, "Grassmannian"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-SKWG4H6X-1
  skos:prefLabel "sphère"@fr, "sphere"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-LCG3ZWKT-0
  skos:prefLabel "structure algébrique"@fr, "algebraic structure"@en ;
  a skos:Concept ;
  skos:narrower psr:-M3NJVVTK-V .

psr:-RMQ1RP9W-P
  skos:prefLabel "groupe de Lie"@fr, "Lie group"@en ;
  a skos:Concept ;
  skos:narrower psr:-M3NJVVTK-V .

psr:-SLL602JL-J
  skos:prefLabel "symmetric space"@en, "espace symétrique"@fr ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-Q8T0JSP7-0
  skos:prefLabel "drapeau"@fr, "flag"@en ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .

psr:-GZPZT00T-6
  skos:prefLabel "Klein geometry"@en, "géométrie de Klein"@fr ;
  a skos:Concept ;
  skos:broader psr:-M3NJVVTK-V .