About: Table of Lie groups

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This article gives a table of some common Lie groups and their associated Lie algebras. The following are noted: the topological properties of the group (dimension; connectedness; compactness; the nature of the fundamental group; and whether or not they are simply connected) as well as on their algebraic properties (abelian; simple; semisimple).

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rdf:type	yago:WikicatLieAlgebras yago:WikicatLieGroups yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Content105809192 yago:Discipline105996646 yago:Group100031264 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 yago:Science105999797
rdfs:label	Tavola dei gruppi di Lie (it) Table of Lie groups (en)
rdfs:comment	Questo articolo presenta una tavola di alcuni dei più comuni gruppi di Lie, ciascuno con la sua algebra di Lie associata. Sono fornite le proprietà topologiche del gruppo (dimensione, connessione, compattezza, natura del gruppo fondamentale e il fatto che sia semplicemente connesso o meno) insieme alle loro proprietà algebriche (se si tratti di gruppo abeliano, di gruppo semplice, di ). Per ulteriori esempi di gruppi di Lie e per altri argomenti collegati si veda anche l'. (it) This article gives a table of some common Lie groups and their associated Lie algebras. The following are noted: the topological properties of the group (dimension; connectedness; compactness; the nature of the fundamental group; and whether or not they are simply connected) as well as on their algebraic properties (abelian; simple; semisimple). (en)
dcterms:subject	Lie algebras Lie groups Mathematics-related lists
Wikipage page ID	1387689 (xsd:integer)
Wikipage revision ID	1122961150 (xsd:integer)
Link from a Wikipage to another Wikipage	Metaplectic group Bianchi classification Determinant Algebraic group Lie group Positive real numbers Trivial group Quaternions Lie algebras Compact space Complex number Cross product Matrix (mathematics) SO(3) SU(2) General linear group SL2(R) Classification of low-dimensional real Lie algebras Connected space Lie algebra Lorentz group Fundamental group Spin group Symplectic group Topology Trace of a matrix 3-sphere Absolute value Affine group Affine transformation Lie groups Euclidean space Double covering group Invertible matrix Simple Lie group Abelian group Symplectic matrix Dimension Special orthogonal group Special unitary group Sphere Spin(3) Circle group Orthogonal group Orthogonal matrix Mathematics-related lists Real number Semidirect product Semisimple Lie group Hypersphere Special linear group Skew-symmetric matrix Solvable group Unitary group Unitary matrix Semisimple Lie algebra Möbius group List of simple Lie groups Universal cover Simply connected Group of components Poincaré half-plane List of Lie group topics Compact symplectic group
sameAs	Table of Lie groups Table of Lie groups Table of Lie groups Table of Lie groups Table of Lie groups Table of Lie groups Table of Lie groups
dbp:wikiPageUsesTemplate	dbt:Main dbt:Fulton-Harris dbt:Lie_groups
has abstract	This article gives a table of some common Lie groups and their associated Lie algebras. The following are noted: the topological properties of the group (dimension; connectedness; compactness; the nature of the fundamental group; and whether or not they are simply connected) as well as on their algebraic properties (abelian; simple; semisimple). For more examples of Lie groups and other related topics see the list of simple Lie groups; the Bianchi classification of groups of up to three dimensions; see classification of low-dimensional real Lie algebras for up to four dimensions; and the list of Lie group topics. (en) Questo articolo presenta una tavola di alcuni dei più comuni gruppi di Lie, ciascuno con la sua algebra di Lie associata. Sono fornite le proprietà topologiche del gruppo (dimensione, connessione, compattezza, natura del gruppo fondamentale e il fatto che sia semplicemente connesso o meno) insieme alle loro proprietà algebriche (se si tratti di gruppo abeliano, di gruppo semplice, di ). Per ulteriori esempi di gruppi di Lie e per altri argomenti collegati si veda anche l'. (it)
prov:wasDerivedFrom	wikipedia-en:Table_of_Lie_groups?oldid=1122961150&ns=0
page length (characters) of wiki page	13830 (xsd:nonNegativeInteger)

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