On low-dimensional complex \(\omega \)-Lie superalgebras (Q2047497)

The paper under review is concerned with low-dimensional \(\omega\)-Lie superalgebras over the complex field. Specifically, the authors calculate the derivation superalgebras and automorphism groups of three and four dimensional Lie superalgebras, obtaining the corresponding Jordan standard forms of elements. They also develop interesting results in representation theory of \(\omega\)-Lie superalgebras and particularly, they prove that irreducible representations of a family of four dimensional \(\omega\)-Lie superalgebras are one dimensional, generalizing a result due to [\textit{Y. Chen} et al., Commun. Algebra 46, No. 2, 708--726 (2018; Zbl 1427.17032)] originally in the non-super case.