15 citations · 23 across the 5 of their papers we have counts for
5 papers
-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…