Mixed Schur-Weyl-Sergeev duality for queer Lie superalgebras

Ji Hye Jung, Seok-Jin Kang

We introduce a new family of superalgebras ${\overrightarrow{B}}_{r,s}$ for $r,s\ge 0$ such that $r+s>0$, which we call the walled Brauer superalgebras, and prove the mixed Scur-We…