Group gradings on the filiform Lie superalgebras Lm,n.

In this paper, we classify the gradings up to equivalence on the filiform Lie superalgebras Lm,n over an algebraically closed field of characteristic 0. Moreover, by the relation between a grading and a standard grading, we describe all pairwise inequivalent gradings and their universal groups of Lm,n. [ABSTRACT FROM AUTHOR]