Abstract: This paper realizes quantum Schur superalgebras as the endomorphism algebras of certain representations of general linear groups
over finite fields, generalizing the relationship between quantum Schur algebras and finite general linear groups established by Beilinson, Lusztig, and MacPherson and described in details in the monograph Finite Dimensional Algebras and Quantum Groups by Deng, Du, Parshall, and Wang.

Key words: quantum Schur superalgebra, finite general linear group, Steinberg representation