8 citations · 10 across the 10 of their papers we have counts for
10 papers
On transposed Poisson conformal algebras
Lamei Yuan, Hao Fang
The aim of this paper is to introduce the notion of (noncommutative) transposed Poisson conformal algebras, which serve as the conformal analogues of transposed Poisson algebras an…
Post-Lie conformal algebra structures on Lie conformal algebras
Lamei Yuan, Yuhui Tan
In this paper, we introduce and study post-Lie conformal algebras (PLCAs), a generalization of post-Lie algebras to conformal algebras. We establish an equivalence between PLCA str…
Computation of cohomology of finite Lie conformal algebras
Zhenyu Zhang, Lamei Yuan
By using the energy operator introduced by B. Bakalov, A. De Sole, and V.\,G. Kac, we propose an algorithm for computing the cohomology of finitely generated free Lie conformal alg…
On L-dendriform conformal algebras
Atef Hajjaji, Lamei Yuan
In this paper, we introduce the concept of L-dendriform conformal algebras, which arise naturally from the study of -operators on left-symmetric conformal algebras and…
Conformal modules and their extensions of a Lie conformal algebra related to a 2-dimensional Novikov algebra
Lamei Yuan, Yanjie Wang
Let be a free Lie conformal algebra of rank with -basis and relations \begin{eqnarray*} \left[L_λ L\right]=(\partial+2 λ) (L+I),\…
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…