We study a twisted generalization of Lie superalgebras, called Hom-Lie superalgebras. It is obtained by twisting the graded Jacobi identity by an even linear map. We give a complete classification of the complex multiplicative Hom-Lie superalgebras of low dimensions.
@article{bwmeta1.element.doi-10_1515_math-2016-0056, author = {Chunyue Wang and Qingcheng Zhang and Zhu Wei}, title = {A classification of low dimensional multiplicative Hom-Lie superalgebras}, journal = {Open Mathematics}, volume = {14}, year = {2016}, pages = {613-628}, zbl = {1345.17020}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0056} }
Chunyue Wang; Qingcheng Zhang; Zhu Wei. A classification of low dimensional multiplicative Hom-Lie superalgebras. Open Mathematics, Tome 14 (2016) pp. 613-628. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0056/