A quantum covering group is an algebra with parameters $q$ and $\pi$ subject to $\pi^2=1$ and it admits an integral form; it specializes to the usual quantum group at $\pi=1$ and to a quantum… Expand

A quantum symmetric pair is a quantization of the symmetric pair of universal enveloping algebras. Recent development suggests that most of the theory for quantum groups can be generalised to the… Expand

For certain positive even roots $\gamma$ of a simple Lie superalgebra of type BDFG, we prove the existence of a nonzero homomorphism between Verma modules $M(s_{\gamma}\lambda) \rightarrow… Expand

Abstract For a simple Lie superalgebra of type BDFG, we give explicit formulas for singular vectors in a Verma module of highest weight λ − ρ , which have weight s γ λ − ρ for certain positive… Expand