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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 conformal modules over the extended Block type Lie conformal algebra
Haibo Chen, Yanyong Hong, Yucai Su
In this paper, we introduce a class of infinite Lie conformal algebras , which are the semi-direct sums of Block type Lie conformal algebra a…
Extensions of finite irreducible modules of Lie conformal algebras and some Schrödinger-Virasoro type Lie conformal algebras
Lipeng Luo, Yanyong Hong, Zhixiang Wu
Lie conformal algebras are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this paper, we give a comp…
On a class of infinite simple Lie conformal algebras
Yanyong Hong, Yang Pan, Haibo Chen
In this paper, we study a class of infinite simple Lie conformal algebras associated to a class of generalized Block type Lie algebras. The central extensions, conformal derivation…