Irreducible representations of q-Schur superalgebras at a root of unity

Under the assumption that the quantum parameter q is an lth primitive root of unity with l odd in a field F   of characteristic 0 and m+n⩾rm+n⩾r, we obtain a complete classification of irreducible modules of the q  -Schur superalgebra SF(m|n,r)SF(m|n,r) introduced in [12].