Non-standard Verma type modules for $\mathfrak{q}(n{)}^{(2)}$

Abstract

We study non-standard Verma type modules over the Kac-Moody queer Lie superalgebra $\mathfrak{q}(n{)}^{(2)}$. We give a sufficient condition under which such modules are irreducible. We also give a classification of all irreducible diagonal $\mathbb{Z}$-graded modules over certain Heisenberg Lie superalgebras contained in $\mathfrak{q}(n{)}^{(2)}$.

arXiv commentMinor corrections, published version