Non-commutative moment problems.
Non-holonomic modules over Weyl algebras and enveloping algebras.
Non-weight modules over the super Schrödinger algebra
We construct a family of non-weight modules which are free -modules of rank 2 over the super Schrödinger algebra in -dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free -modules of rank 2 over are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.