In this paper, we study the finite W-algebra for the queer Lie superalgebra Q(N) associated with the non-regular even nilpotent coadjoint orbits in the case when N = nl, and the corresponding nilpotent element has Jordan blocks each of size l. We prove that this finite W-algebra is isomorphic to a quotient of the super-Yangian of Q(n).
Poletaeva, Elena and Serganova, Vera, "On the finite W-algebra for the Lie superalgebra Q(N) in the non-regular case" (2017). Mathematical and Statistical Sciences Faculty Publications and Presentations. 83.
Journal of Mathematical Physics