Research Article

Super-skewsymmetric super-biderivations on the N = 1 super Heisenberg-Virasoro algebra

Published in: Quaestiones Mathematicae
Volume 47 , issue 5 , 2024 , pages: 933–947

DOI: 10.2989/16073606.2023.2274585

Author(s): Jinlu Li Shanghai University, China , Jiancai Sun Shanghai University, China

Keywords: 17B05 , 17B40 , 17B65 , 17B68 , 17B70 , Lie super-algebra , super-biderivation , super-skewsymmetric

Abstract

In this paper, the super-skewsymmetric super-biderivations on the N = 1 super Heisenberg-Virasoro algebra are completely determined. Furthermore, we find that every super-skewsymmetric super-biderivation of the N = 1 super Heisenberg-Virasoro algebra is inner.

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