Key points are not available for this paper at this time.
In this paper, we mainly study free U(h)-modules over the N=1 Heisenberg–Virasoro superalgebra. We construct a family of non-weight modules that are free of rank 2 when regarded as modules over the Cartan subalgebra. Moreover, we classify the free U(h)-modules of rank 2 over the N = 1 Heisenberg–Virasoro superalgebra and provide the necessary and sufficient conditions for such g-modules to be isomorphic.
Dilxat et al. (Fri,) studied this question.