Local superderivations on Cartan type Lie superalgebras

Authors

  • Jixia Yuan School of Mathematical and Statistics, Northeast Normal University, Changchun 130024, China; School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
  • Liangyun Chen School of Mathematical and Statistics, Northeast Normal University, Changchun 130024, China
  • Yan Cao Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China

DOI:

https://doi.org/10.33044/revuma.1965

Abstract

 We characterize the local superderivations on Cartan type Lie superalgebras over the complex field $\mathbb{C}$. 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.

Downloads

Download data is not yet available.

Downloads

Published

2021-12-14

Issue

Vol. 62 No. 2 (2021)

Section

Article

License

Copyright (c) 2022 Jixia Yuan, Liangyun Chen, Yan Cao

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. The Journal may retract the paper after publication if clear evidence is found that the findings are unreliable as a result of misconduct or honest error.