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Biderivations and Commutative Post-Lie Algebra Structure on Schrödinger–Virasoro Lie Algebras

  • Ying Li
  • Xiaomin TangEmail author
Original Paper

Abstract

In this paper, the biderivations of Schrödinger–Virasoro Lie algebras are characterized. It is obtained a class of non-inner and non-skewsymmetric biderivations. As an application, the commutative post-Lie algebra structures on the Schrödinger–Virasoro Lie algebra are presented.

Keywords

Biderivation Skewsymmetric Schrödinger–Virasoro Lie algebra Post-Lie algebra 

Mathematics Subject Classification

17B05 17B40 17B65 

Notes

Acknowledgements

We are very grateful to the referee for his (or her) valuable suggestions and comments. This work was supported in part by the NNSFC [Grant number 11771069] and the NSF of Heilongjiang Province [Grant number A2015007].

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Copyright information

© Iranian Mathematical Society 2019

Authors and Affiliations

  1. 1.Mathematical Department of Teacher Education InstituteDaQing Normal UniversityDaqingPeople’s Republic of China
  2. 2.Department of MathematicsHeilongjiang UniversityHarbinPeople’s Republic of China

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