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Some constructions of multiplicative n-ary Hom-Nambu algebras

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Département de Mathematiques Sfax; Faculté des Sciences de Sfax (FSS); Université de Sfax - University of Sfax-Université de Sfax - University of Sfax; Laboratoire de Mathématiques Informatique et Applications UHA (LMIA); Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA)); Département de Mathématiques, Faculté des Sciences de Gafsa; Université de Gafsa; Laboratoire d'Electricité des Signaux et de Robotique (LESIR); École normale supérieure - Cachan (ENS Cachan)-Université de Cergy Pontoise (UCP); Université Paris-Seine-Université Paris-Seine-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2018
    • نبذة مختصرة :
      We show that given a Hom-Lie algebra one can construct the n-ary Hom-Lie bracket by means of an (n-2)-cochain of given Hom-Lie algebra and find the conditions under which this n-ary bracket satisfies the Filippov-Jacobi identity, there by inducing the structure of n-Hom-Lie algebra. We introduce the notion of Hom-Lie n-uplet system which is the generalization of Hom-Lie triple system. We construct Hom-Lie n-uplet system using a Hom-Lie algebra.
    • Relation:
      hal-01864461; https://hal.science/hal-01864461; https://hal.science/hal-01864461v2/document; https://hal.science/hal-01864461v2/file/SomeConstructionsMultiplicativeHomNambuAlgebrasArxiv.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.F10AA004