In this paper, it is proved that all irreducible Harish-Chandra modules over the Q Heisenberg–Virasoro algebra are of the intermediate series (all weight spaces are at most one-dimensional).
Guo, Xiangqian; Liu, Xuewen; and Zhao, Kaiming, "Harish-Chandra Modules Over the Q Heisenberg-Virasoro Algebra" (2010). Mathematics Faculty Publications. 51.
This article was originally published in Journal of the Australian Mathematical Society, 89(2010): 9-15. © 2010 Australian Mathematical Society.