On representations of the super-Yangian of the queer Lie superalgebra

Abstract

Let Q(n) be the queer Lie superalgebra. We determine conditions under which two 1-dimensional modules over the super-Yangian of Q(n) can be extended nontrivially. We describe the dual modules of the simple finite-dimensional modules over YQ(1). We use these results to describe blocks in the subcategory of finite-dimensional YQ(1)-modules admitting the zero generalized central character.