5 citations · 10 across the 9 of their papers we have counts for
9 papers
Classification of simple quasifinite modules for contact superconformal algebras with
Yan-an Cai, Rencai Lü
In this paper, we classify all simple jet modules for contact superconformal algebras with . Then all simple quasifinite modules for $\widehat{\mathcal{K…
Classification of simple strong Harish-Chandra modules over the Lie superalgebra of vector fields on $\C^{m|n}$
Yan-an Cai, Rencai Lü, Yaohui Xue
In this paper, we classify simple strong Harish-Chandra modules over the Lie superalgebra of vector fields on $\C^{m|n}$. Any such module is the unique simple submodule o…
Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra
Yan-an Cai, Rencai Lü
In this paper, we classify all simple jet modules for the Neveu-Schwarz algebra and its contact subalgebra . Based on these results, we giv…
Classification of simple Harish-Chandra modules over the N=1 Ramond algebra
Yanan Cai, Dong Liu, Rencai Lü
In this paper, we give a new approach to classify all simple Harish-Chandra modules for the N=1 Ramond algebra based on the so called A-cover theory developed in \cite{BF}
Weight modules for map (super)algebra related to the Virasoro algebra
Yan-an Cai, Rencai Lü, Yan Wang
We classify Jet modules for the Lie (super)algebras , where is the Witt algebra and is a Lie supe…
Simple weight modules over the quantum Schrödinger algebra
Yan-an Cai, Yongsheng Cheng, Genqiang Liu
In the present paper, using the technique of localization, we determine the center of the quantum Schrödinger algebra and classify simple modules with finite-dimensional weig…
Module structure on for Kac-Moody algebras
Yan-an Cai, Haijun Tan, Kaiming Zhao
Let $\g$ be an arbitrary Kac-Moody algebra with a Cartan sualgebra $\h$. In this paper, we determine the category of $\g$-modules that are free $U(\h)$-modules of rank 1.
Generalized Verma modules over $\fr{sl}_{n+2}$ induced from $\ca{U}(\fr{h}_n)$-free $\fr{sl}_{n+1}$-modules
Yan-an Cai, Genqiang Liu, Jonathan Nilsson +1
A class of generalized Verma modules over $\fr{sl}_{n+2}$ is constructed from $\fr{sl}_{n+1}$-modules which are $\uhn$-free modules of rank . The necessary and sufficient condit…
Quasi-Whittaker modules for the Schrödinger algebra
Yan-an Cai, Yongsheng Cheng, Ran Shen
In this paper, we construct a new class of modules for the Schrödinger algebra $\mS$, called quasi-Whittaker module. Different from \cite{[ZC]}, the quasi-Whittaker module is not i…