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The minimal number of generators for finite-dimensional Cartan Lie superalgebras

Volume 158 / 2019

Liming Tang, Wende Liu Colloquium Mathematicum 158 (2019), 305-312 MSC: Primary 17B05; Secondary 17B20. DOI: 10.4064/cm7628-11-2018 Published online: 5 September 2019

Abstract

Suppose the ground field is algebraically closed and of characteristic zero. We prove that any finite-dimensional Cartan Lie superalgebra is generated by one element. Combined with a result due to Albuquerque and Elduque for classical Lie superalgebras, this implies that any finite-dimensional Lie superalgebra is generated by one element.

Authors

  • Liming TangSchool of Mathematical Sciences
    Harbin Normal University
    150025 Harbin, China
    e-mail
  • Wende LiuSchool of Mathematics and Statistics
    Hainan Normal University
    571158 Haikou, China
    e-mail

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