Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra
  The purpose of this paper is to define the representation and the cohomology of Hom-Lie superalgebras. Moreover we study Central extensions and provide as application the computations of the derivations and second cohomology group of q-deformed Witt superalgebra. 
Faouzi Ammar, Abdenacer Makhlouf and Nejib Saadoui
math.RA math-ph math.MP math.RT