21 citations · 95 across the 29 of their papers we have counts for
10 papers · 1 filter
Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality
Yanyong Hong, Chengming Bai, Li Guo
Balinsky and Novikov showed that the affinization of a Novikov algebra naturally defines a Lie algebra, a property that in fact characterizes the Novikov algebra. It is also an ins…
On antisymmetric infinitesimal conformal bialgebras
Yanyong Hong, Chengming Bai
In this paper, we construct a bialgebra theory for associative conformal algebras, namely antisymmetric infinitesimal conformal bialgebras. On the one hand, it is an attempt to giv…
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 first give…
Quadratic Leibniz conformal algebras
Jinsen Zhou, Yanyong Hong
In this paper, we study a class of Leibniz conformal algebras called quadratic Leibniz conformal algebras. An equivalent characterization of a Leibniz conformal algebra $R=\mathbb{…
Generalized conformal derivations of Lie conformal algebras
Guangzhe Fan, Yanyong Hong, Yucai Su
Let be a Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra , the conformal quasiderivation algebra and the…
On Schrödinger-Virasoro type Lie conformal algebras
Yanyong Hong
In this paper, two new classes of Schrödinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c\in \mathbb{C}. Moreover,…
Simplicity of quadratic Lie conformal algebras
Yanyong Hong, Zhixiang Wu
In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and…
Central extensions and conformal derivations of a class of Lie conformal algebras
Yanyong Hong
A quadratic Lie conformal algebra corresponds to a Hamiltonian pair in \cite{GD}, which plays fundamental roles in completely integrable systems. Moreover, it also corresponds to c…
A class of Lie conformal superalgebras in higher dimensions
Yanyong Hong
Fix a positive integer number . A class of -dim Lie conformal superalgebras named -dim -linear Lie conformal superalgebras are studied for . We present…
Analysis of Uq(sl(m+1))-symmetries on quantum n-spaces
Steven Duplij, Yanyong Hong, Fang Li
In this paper, the module-algebra structures of on the quantum -space are studied. We characterize all module-algebra structures of on $A_…