Tight irreducible finite weight modules over twisted affine Lie superalgebras

Abstract

For a twisted affine Lie superalgebra with nonzero odd part, we study tight irreducible weight modules with bounded weight multiplicities and show that if the action of nonzero real vectors of each affine component of the zero part is neither completely injective nor completely locally nilpotent, then these modules are parabolically induced. © 2021 Elsevier B.V.