About: Lie groups

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Analysis on other specific Lie groups Analysis on homogeneous spaces Spherical functions Topological transformation groups Homology and homotopy of topological groups and related structures
skos:inScheme	MSC 2010
broader concept	Topological groups, Lie groups
narrower concept	Local Lie groups General properties and structure of complex Lie groups General properties and structure of real Lie groups General properties and structure of other Lie groups Nilpotent and solvable Lie groups Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) Analysis on real and complex Lie groups Analysis on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-adic Lie groups Discrete subgroups of Lie groups Continuous cohomology Structure and representation of the Lorentz group Representations of Lie and linear algebraic groups over real fields: analytic methods Semisimple Lie groups and their representations Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Representations of Lie and linear algebraic groups over local fields Representations of Lie and linear algebraic groups over global fields and adÃ¨le rings Geometric Langlands program: representation-theoretic aspects Lie algebras of Lie groups Infinite-dimensional Lie groups and their Lie algebras: general properties Analysis on and representations of infinite-dimensional Lie groups Loop groups and related constructions, group-theoretic treatment Applications of Lie groups to physics; explicit representations None of the above, but in MSC2010 section 22Exx
skos:prefLabel	Lie groups Lie群(Lie群和齐性空间的拓扑, 见57Sxx, 57Txx; 分析方面, 见43A80, 43A85, 43A90)
skos:altLabel	Lie groups {For the topology of Lie groups and homogeneous spaces see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90}
http://msc2010.org...#seeConditionally	Analysis on other specific Lie groups Analysis on homogeneous spaces Spherical functions Topological transformation groups Homology and homotopy of topological groups and related structures
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/22Exx-to-43A80-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-43A85-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-43A90-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-57Sxx-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-57Txx-seeFor
skos:closeMatch	from MSC1991 value of: Lie groups, {For the topology of Lie groups and homogeneous spaces, See {57-XX, 57Sxx, 57Txx}; for analysis thereon, See {43-XX, 43A80, 43A85, 43A90} from MSC2000 value of: Lie groups {For the topology of Lie groups and homogeneous spaces, see \CMPonly{57-XX}\FullScheme{57Sxx, 57Txx}; for analysis thereon, see \CMPonly{43-XX}\FullScheme{43A80, 43A85, 43A90}}
skos:notation	22Exx
skos:note	For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.55
skos:semanticRelation	Analysis on other specific Lie groups Analysis on homogeneous spaces Spherical functions Topological transformation groups Homology and homotopy of topological groups and related structures
is rdfs:seeAlso of	Lie algebras and Lie superalgebras Linear algebraic groups and related topics Special functions (33-XX deals with the properties of functions as functions) Abstract harmonic analysis Analysis on other specific Lie groups Abstract harmonic analysis
is broader concept of	Local Lie groups General properties and structure of complex Lie groups General properties and structure of real Lie groups General properties and structure of other Lie groups Nilpotent and solvable Lie groups Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) Analysis on real and complex Lie groups Analysis on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ p$"><mml:mi>p</mml:mi></mml:math>-adic Lie groups Discrete subgroups of Lie groups Continuous cohomology Structure and representation of the Lorentz group Representations of Lie and linear algebraic groups over real fields: analytic methods Semisimple Lie groups and their representations Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Representations of Lie and linear algebraic groups over local fields Representations of Lie and linear algebraic groups over global fields and adÃ¨le rings Geometric Langlands program: representation-theoretic aspects Lie algebras of Lie groups Infinite-dimensional Lie groups and their Lie algebras: general properties Analysis on and representations of infinite-dimensional Lie groups Loop groups and related constructions, group-theoretic treatment Applications of Lie groups to physics; explicit representations None of the above, but in MSC2010 section 22Exx
is narrower concept of	Topological groups, Lie groups
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/22Exx-to-43A80-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-43A85-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-43A90-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-57Sxx-seeFor http://msc2010.org/resources/MSC/2010/22Exx-to-57Txx-seeFor
is http://msc2010.org...msc2010#forTarget of	http://msc2010.org/resources/MSC/2010/17Bxx-to-22Exx-seeFor http://msc2010.org/resources/MSC/2010/20Gxx-to-22Exx-seeFor http://msc2010.org/resources/MSC/2010/33-XX-to-22Exx-seeFor http://msc2010.org/resources/MSC/2010/43-XX-to-22Exx-seeFor http://msc2010.org/resources/MSC/2010/43Axx-to-22Exx-seeFor
is http://msc2010.org...0/msc2010#seeAlso of	Analysis on other specific Lie groups
is http://msc2010.org...#seeConditionally of	Lie algebras and Lie superalgebras Linear algebraic groups and related topics Special functions (33-XX deals with the properties of functions as functions) Abstract harmonic analysis Abstract harmonic analysis

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