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$N=1$ Heisenberg–Virasoro superalgebra
This paper presents a classification of all simple Harish-Chandra modules for the 
$N=1$ Heisenberg–Virasoro superalgebra, which turn out to be highest weight modules, lowest weight modules, and evaluation modules of the intermediate series (all weight spaces are one dimensional). Moreover, a characterization of the tensor product of highest weight modules with intermediate series modules is obtained.
