15 citations · 25 across the 7 of their papers we have counts for
7 papers
Whittaker modules for
Xiangqian Guo, Xuewen Liu, Limeng Xia
In this paper, we study the Whittaker modules for the quantum enveloping algebra $U_q(\sl_3)$ with respect to a fixed Whittaker function. We construct the universal Whittaker modul…
-Differential operators and -differential modules for the Virasoro algebra
Xuewen Liu, Li Guo, Xiangqian Guo
The concept of -differential operators is a natural generalization of differential operators and difference operators. In this paper, we determine the -differential Lie algeb…
$U(\fh)$-free modules over the Block algebra $\BB(q)$
Xuewen Liu, Xiangqian Guo
In this paper, we construct a new class of modules over the Block algebra $\BB(q)$, where is a nonzero complex number. We determined the irreducibilities of these modules and t…
Irreducible modules over the divergence zero algebras and their -analogues
Xuewen Liu, Xiangqian Guo, Zhen Wei
In this paper, we study a class of -graded modules, which are constructed using Larsson's functor from $\sl_d$-modules , for the Lie algebras of divergence zero vector fie…
New irreducible tensor product modules for the Virasoro algebra (II)
Xuewen Liu, Xiangqian Guo, Jing Wang
In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules and with irreducible highest weight modules…
New irreducible tensor product modules for the Virasoro algebra
Xiangqian Guo, Xuewen Liu, Jing Wang
In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules defined in \cite{CG}, with irreducible highest weight…
Harish-Chandra modules over the $\Q$ Heisenberg-Virasoro Algebra
Xiangqian Guo, Xuewen Liu, Kaiming Zhao
In this paper, it is proved that all irreducible Harish-Chandra modules over the $\Q$ Heisenberg-Virasoro algebra are of intermediate series (all weight spaces are 1-dimensional).