On the finite W-algebra for the Lie superalgebra Q(N) in the non-regular case

Abstract

Abstract. 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 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 l )