4 papers
Classification of uniformly bounded simple Lie conformal algebras with upper bound one
Maosen Xu, Huangjie Yu, Lipeng Luo
In this paper, we prove that uniformly bounded simple Lie conformal algebra must be finitely generated. Furthermore, we give a completely classification of simple uniformly bounded…
A class of uniformly bounded simple -graded Lie conformal algebras
Maosen Xu
In this paper, we classify the following simple -graded Lie conformal algebras such that (1)$rank\mathcal{L}_i\le…
Finite irreducible conformal modules of rank two Lie conformal algebras
Maosen Xu, Yanyong Hong, Zhixiang Wu
In the present paper, we prove that any finite non-trivial irreducible module over a rank two Lie conformal algebra is of rank one. We also describe the actions of $\…
Finite irreducible modules of a class of -graded Lie conformal algebras
Maosen Xu, Yanyong Hong
In this paper, we introduce the notion of completely non-trivial module of a Lie conformal algebra. By this notion, we classify all finite irreducible modules of a class of $\mathb…