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6 papers · 2 filters
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…
Irreducible Virasoro modules from tensor products
Haijun Tan, Kaiming Zhao
In this paper, we obtain a class of irreducible Virasoro modules by taking tensor products of the irreducible Virasoro modules defined in [LZ], with irreducible highest we…
Tensor product weight modules over the Virasoro algebra
Hongjia Chen, Xiangqian Guo, Kaiming Zhao
The tensor product of highest weight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [Z] in 1997. Since then the irreducibility problem fo…