Geodesic
Simple weight modules over the $N=1$ Heisenberg–Virasoro superalgebra
Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 198-212

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DOI

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.
DOI : 10.4153/S0008439524000559
Mots-clés : Heisenberg–Virasoro superalgebra, Harish-Chandra module, Verma module, tensor product, intermediate series 
Lan, Chao; Liu, Dong. Simple weight modules over the $N=1$ Heisenberg–Virasoro superalgebra. Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 198-212. doi: 10.4153/S0008439524000559
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     title = {Simple weight modules over the $N=1$ {Heisenberg{\textendash}Virasoro} superalgebra},
     journal = {Canadian mathematical bulletin},
     pages = {198--212},
     year = {2025},
     volume = {68},
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     doi = {10.4153/S0008439524000559},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000559/}
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