Presenting Schur superalgebras. (Q354584)

The paper gives a presentation, in terms of generators and relations, for the Schur superalgebra and its quantum analogue. The results also include an explicit basis for these algebras and a presentation in terms of weight idempotents in the spirit of Lusztig's modified quantum groups. In the last section it is shown how the \(q\)-Schur superalgebra naturally appears in the quantum Schur-Weyl duality.