73 citations · 417 across the 63 of their papers we have counts for
8 papers · 2 filters
Irreducible modules over Witt algebras and over
Haijun Tan, Kaiming Zhao
In this paper, by using the "twisting technique" we obtain a class of new modules over the Witt algebras from modules over the Weyl algebras $\mathcal{K}_…
On simple modules over conformal Galilei algebras
Rencai Lu, Volodymyr Mazorchuk, Kaiming Zhao
We study irreducible representations of two classes of conformal Galilei algebras in 1-spatial dimension. We construct a functor which transforms simple modules with nonzero centra…
-point Virasoro Algebras and Their Modules of Densities
Ben Cox, Xiangqian Guo, Rencai Lu +1
In this paper we introduce and study -point Virasoro algebras, $\tilde{\W_a}$, which are natural generalizations of the classical Virasoro algebra and have as quotients multipoi…
Generalized oscillator representations of the twisted Heisenberg-Virasoro algebra
Rencai Lu, Kaiming Zhao
In this paper, we first obtain a general result on sufficient conditions for tensor product modules to be simple over an arbitrary Lie algebra. We classify simple modules with a ni…
Irreducible representations of untwisted affine Kac-Moody algebras
Xiangqian Guo, Kaiming Zhao
In this paper we construct a class of new irreducible modules over untwisted affine Kac-Moody algebras , generalizing and including both highest weight mo…
A family of simple weight modules over the Virasoro algebra
Rencai Lu, Kaiming Zhao
Using simple modules over the derivation Lie algebra of the associative polynomial algebra , we construct new weight Virasoro modules with all weight spac…