38 citations · 132 across the 21 of their papers we have counts for
22 papers
Compatible Lie conformal bialgebras
Lamei Yuan, Jiansen Zhao
We introduce and study compatible Lie conformal bialgebras as conformal counterparts of compatible Lie bialgebras. Such a structure consists of two compatible Lie conformal bracket…
On transposed Poisson conformal superalgebras
Hao Fang, Lamei Yuan
We introduce and study transposed Poisson conformal superalgebras, the -graded conformal analogues of transposed Poisson algebras, as well as their noncommutative vari…
Cohomology of Twisted Rota-Baxter operators on Associative~Conformal Algebra
Sania Asif, Lamei Yuan, Yao Wang
In this paper, we examine the concept of twisted Rota-Baxter (TRB) operators on associative conformal algebras. Our strategy begins by constructing an -algebra using Maur…
Twisting theory, relative Rota-Baxter type operators and -algebras on Lie conformal algebras
Lamei Yuan, Jiefeng Liu
Based on Nijenhuis-Richardson bracket and bidegree on the cohomology complex for a Lie conformal algebra, we develop a twisting theory of Lie conformal algebras. By using derived b…
Conformal -matrix-Nijenhuis structures, symplectic-Nijenhuis structures and -structures
Jiefeng Liu, Sihan Zhou, Lamei Yuan
In this paper, we first study infinitesimal deformations of a Lie conformal algebra and a Lie conformal algebra with a module (called an pair), which lead to the n…
-operators and Nijenhius operators of associative conformal algebras
Lamei Yuan
We study -operators of associative conformal algebras with respect to conformal bimodules. As natural generalizations of -operators and dendriform conform…
Biderivations of Hom-Lie algebras and superalgebras
Lamei Yuan, Jiaxin Li
On Hom-Lie algebras and superalgebras,we introduce the notions of biderivations, linear commuting maps and α-biderivations, and compute them for some typical Hom-Lie algebras and s…
Deformations and generalized derivations of Lie conformal superalgebras
Jun Zhao, Liangyun Chen, Lamei Yuan
The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Lie conformal superalgebras. Firstly, we construc…
Deformations and generalized derivations of Hom-Lie conformal algebras
Jun Zhao, Lamei Yuan, Liangyun Chen
The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we dev…
Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra
Henan Wu, Lamei Yuan
In this paper, we classify all finite irreducible conformal modules over a class of Lie conformal algebras with related to the Virasoro conformal…
A Lie conformal algebra of Block type
Lamei Yuan
The aim of this paper is to study a Lie conformal algebra of Block type. In this paper, conformal derivation, conformal module of rank 1 and low-dimensional comohology of the Lie c…
Cohomology of Heisenberg-Virasoro conformal algebra
Lamei Yuan, Henan Wu
In this paper, we compute the cohomology of the Heisenberg-Virasoro conformal algebra with coefficients in its modules, and in particular with trivial coefficients both for the bas…
Structures of Lie conformal algebra
Lamei Yuan, Henan Wu
The purpose of this paper is to study Lie conformal algebra, which has a free -basis such that , $[L_λM]=(\partial+…
Super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras
Lamei Yuan, Sheng Chen, Caixia He
The purpose of this paper is to introduce and study super Hom-Gel'fand-Dorfman bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for construc…
Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras
Lamei Yuan
The aim of this paper is to introduce the notions of Hom Gel'fand-Dorfman bialgebra and Hom-Lie conformal algebra. In this paper, we give four constructions of Hom Gel'fand-Dorfman…
Hom-Novikov Algebras and Hom-Novikov-Poisson Algebras
Lamei Yuan, Hong You
The purpose of this paper is to study Hom-Novikov algebras and Hom-Novikov-Poisson algebras, both of which were defined by Yau. In the paper, we give several constructions leading…
q-Deformation of W(2,2) Lie algebra associated with quantum groups
Lamei Yuan
An explicit realization of the W(2,2) Lie algebra is presented using the famous bosonic and fermionic oscillators in physics, which is then used to construct the q-deformation of t…
Derivations and automorphism groups of completed Witt Lie algebra
Yongping Wu, Ying Xu, Lamei Yuan
In this paper, a simple Lie algebra, referred to as the completed Witt Lie algebra, is introduced. Its derivation algebra and automorphism group are completely described. As a bypr…
Hom-Lie color algebra structures
Lamei Yuan
This paper introduces the notion of Hom-Lie color algebra, which is a natural general- ization of Hom-Lie (super)algebras. Hom-Lie color algebras include also as special cases Lie…
Quantization of extended SchrÄodinger-Virasoro Lie algebra
Lamei Yuan, Liji Zhou
In present paper, we quantize the extended SchrÄodinger-Virasoro Lie algebra in char- acteristic zero with its Lie bialgebra structures classified by Yuan-Wu-Xu, and get a new Hopf…
Lie bialgebra structures on extended Schrodinger-Virasoro Lie algebra
Lamei Yuan, Yongping Wu, Ying Xu
In this paper, Lie bialgebra structures on the extended Schrodinger-Virasoro Lie algebra are classified. It is obtained that all the Lie bialgebra structures on L are triangular co…
Quantization of Schrödinger-Virasoro Lie algebra
Yucai Su, Lamei Yuan
In this paper, we use the general quantization method by Drinfel'd twists to quantize the Schrödinger-Virasoro Lie algebra whose Lie bialgebra structures were recently discovered b…