4 papers
Classification of -Free Modules over the Heisenberg-Virasoro type Lie superalgebra via Polynomial Shift Operators
Yan Kong, Haibo Chen, Yucai Su
Let \(\mathcal L\) be the Heisenberg-Virasoro type Lie superalgebra whose even part is the twisted Heisenberg-Virasoro algebra and whose odd part is an abelian ideal. We classify \…
Classification of Simple Harish-Chandra Modules over the Loop Mirror HeisenbergVirasoro Algebra
Haibo Chen, Xiansheng Dai, Yucai Su
The loop mirror Heisenberg-Virasoro algebra, an embedded subalgebra of the loop Heisenberg-Virasoro algebra, admits a family of interesting truncated subalgebras including those of…
Representations of the N=1 Heisenberg-Virasoro superalgebra
Ziqi Hong, Haibo Chen, Yucai Su
We first define a class of non-weight modules over the N=1 Heisenberg-Virasoro superalgebra , which are reducible modules. Then we give all submodules of such modules…
Restricted representations of the twisted superconformal algebra
Haibo Chen, Yucai Su, Yukun Xiao
In this paper, we construct a large class of new simple modules over the twisted superconformal algebra. These new simple modules are restricted modules based on the simple m…