English

Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra

Rings and Algebras 2023-06-27 v1

Abstract

Using the first cohomology from the mirror Heisenberg-Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg-Virasoro algebra-module), in this paper we determined the derivations on the mirror Heisenberg-Virasoro algebra. Based on this result, we proved that any 2-local derivation on the mirror Heisenberg-Virasoro algebra is a derivation.

Keywords

Cite

@article{arxiv.2306.14159,
  title  = {Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra},
  author = {Xuelian Guo and Liming Tang},
  journal= {arXiv preprint arXiv:2306.14159},
  year   = {2023}
}