5 citations · 8 across the 5 of their papers we have counts for
5 papers
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…
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.