Local superderivations on Cartan type Lie superalgebras

• Jixia Yuan ^[1] ; Liangyun Chen ^[1] ; Yan Cao ^[2]
  1. [1] Northeast Normal University

     Northeast Normal University

     China

     
  2. [2] Harbin University of Science and Technology

     Harbin University of Science and Technology

     China

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 2, 2021, págs. 433-442
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We characterize the local superderivations on Cartan type Lie superalgebras over the complex field C. Furthermore, we prove that every local superderivation on Cartan type Lie superalgebras is a superderivation. As an application, using the results on local superderivations we characterize the linear 2-local superderivations on Cartan type Lie superalgebras. We prove that every linear 2-local superderivation on Cartan type Lie superalgebras is a superderivation.