73 citations · 170 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
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…