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Unified products of Leibniz conformal algebras
Yanyong Hong, Lamei Yuan
The aim of this paper is to provide an answer to the -split extending structures problem for Leibniz conformal algebras, which asks that how to describe all L…
Extensions of modules over a class of Lie conformal algebras
Kaijing Ling, Lamei Yuan
Let be a class of free Lie conformal algebras of rank with -basis and relations \begin{eqnarray*} [L_λL]=(\partial+2λ)L,\ \ [L_λH…
Extensions of Schrödinger-Virasoro conformal modules
Lamei Yuan, Kaijing Ling
In this paper, we study extensions between two finite irreducible conformal modules over the Schrödinger-Virasoro conformal algebra and the extended Schrödinger-Virasoro conformal…
Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
Yucai Su, Chunguang Xia, Lamei Yuan
We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras of Block type, where is a nonzero complex number. In particula…
Low dimensional cohomology of Hom-Lie algebras and q-deformed W(2,2) algebra
Lamei Yuan, Hong You
This paper aims to study the low dimensional cohomology of Hom-Lie algebras and q-deformed W(2,2) algebra. We show that the q-deformed W(2,2) algebra is a Hom-Lie algebra. Also, we…