Local Derivations on the Planar Galilean Conformal Algebra

Authors

  • Lulu Jiang Department of Mathematics, Huzhou University, Huzhou, Zhejiang, 313000, China https://orcid.org/0009-0001-4449-5661 (unauthenticated)
  • Hui Shen Department of Mathematics, Huzhou University, Huzhou, Zhejiang, 313000, China
  • Dong Liu Department of Mathematics, Huzhou University, Huzhou, Zhejiang, 313000, China

DOI:

https://doi.org/10.37256/cm.6120256164

Keywords:

Virasoro algebra, local derivation, <i>W</i>(2, 2), planar Galilean conformal algebra

Abstract

Local derivation is a significant concept for various algebras, which measures some kind of local property of the algebras. This paper aims to study the local derivations on the planar Galilean conformal algebra. We determine all local derivations on the planar Galilean conformal algebra. Unlike the case of the Virasoro algebra and W(2, 2), there indeed exists a nontrivial local derivation on the planar Galilean conformal algebra. The key construction and some methods will help to do such researches for some other Lie (super)algebras.

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Published

2025-02-20

Issue

Contemporary Mathematics, Volume 6 Issue 1 (2025), 1-1379

Section

Research Article

License

Copyright (c) 2025 Dong Liu, et al.

Creative Commons License

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

How to Cite

1.
Local Derivations on the Planar Galilean Conformal Algebra. Contemp. Math. [Internet]. 2025 Feb. 20 [cited 2025 Dec. 24];6(1):1265-78. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6164