Lie algebra (Q2171)

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vector space with an alternating binary operation satisfying the Jacobi identity.
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    Lie algebra
    vector space with an alternating binary operation satisfying the Jacobi identity.

      Statements

      named after
      Sophus Lie
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      subclass of
      quasi-Lie algebra
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      Lie superalgebra
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      Lie algebroid
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      algebraic structure
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      inception
      1930s
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      defining formula
      ∀x∈𝔤:0=[x,x]∀x,y,z∈𝔤:0=[[x,y],z]+[[y,z],x]+[[z,x],y]
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      studied in
      Lie theory
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      has part(s)
      vector space
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      Lie bracket
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      Identifiers

      Wikidata QID
      Q664495
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      NDL Authority ID
      00567367
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      Freebase ID
      /m/04k9n
      1 reference
      stated in
      Freebase Data Dumps
      publication date
      28 October 2013
      Encyclopædia Britannica Online ID
      topic/Lie-algebra
      subject named as
      Lie algebra
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      GND ID
      4130355-6
      1 reference
      stated in
      Integrated Authority File
      retrieved
      30 March 2018
      National Library of Spain ID
      XX535297
      2 references
      stated in
      Biblioteca Nacional de España
      retrieved
      30 March 2018
      stated in
      Spain open data portal
      title
      Registros de autoridad de "Materia" de la Biblioteca Nacional de España (Spanish)
      reference URL
      https://www.bne.es/media/datosgob/catalogo-autoridades/materia/materia-UTF8.zip
      retrieved
      21 July 2023
      IdRef ID
      027392600
      1 reference
      stated in
      SUDOC
      retrieved
      30 March 2018
      NL CR AUT ID
      ph234835
      subject named as
      Lieovy algebry
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      Microsoft Academic ID
      51568863
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      MathWorld ID
      LieAlgebra
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      nLab ID
      Lie algebra
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      Encyclopedia of Mathematics article ID
      Lie_algebra
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      Great Russian Encyclopedia Online ID (old version)
      2648930
      subject named as
      ЛИ АЛГЕБР ТЕОРИЯ
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      Online PWN Encyclopedia ID
      3932450
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      Store norske leksikon ID
      Lie-algebra
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      ScienceDirect topic ID
      mathematics/lie-algebra
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      Treccani's Enciclopedia della Matematica ID
      algebra-di-lie
      subject named as
      Lie, algebra di
      publication date
      2013
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      ProofWiki ID
      Definition:Lie_Algebra
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      Group Properties article ID
      Lie_algebra
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      Gran Enciclopèdia Catalana ID
      algebra-de-lie
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