The queer q-Schur superalgebra
背景资料：By the super version of the Wedderburn Theorem, a finite dimensional complex simple (associative) superalgebras is isomorphic to either a (full) matrix superalgebra or a queer matrix superalgebra. This gives rise to two series Lie superalgebras: the general linear Lie superalgebra and the queer Lie superalgebra. In this talk, I am going to introduce the queer q-Schur superalgebras associated with the latter and discuss their fundamental structure. The Schur-Weyl-Sergeev duality involving the quantum queer supergroup and Hecke-Clifford superalgebra will also discussed.