Yanyong Hong

activity

20132023

most citedInfinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality

21 citations · 95 across the 29 of their papers we have counts for

collaborators

30 papers

math.RA2023

Conformal triple derivations and triple homomorphisms of Lie conformal algebras

Sania Asif, Lipeng Luo, Yanyong Hong +1

Let $R$ be a finite Lie conformal algebra. In this paper, we first investigate the conformal derivation algebra $C D er (R)$ , the conformal triple derivation algeb…

math.RA2023★ 2 cited

One-dimensional central extensions and simplicities of a class of left-symmetric conformal algebras

Zhongyin Xu, Yanyong Hong

In this paper, we introduce the definition of pre-Gel'fand-Dorfman algebra and present several constructions. Moreover, we show that a class of left-symmetric conformal algebras na…

math.RA2023

Algebraic constructions for left-symmetric conformal algebras

Zhongyin Xu, Yanyong Hong

Let $R$ be a left-symmetric conformal algebra and $Q$ be a $C [\partial]$ -module. We introduce the notion of a unified product for left-symmetric conformal algebras and app…

math.QA2023★ 21 cited

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…

math.RT2022

Non-weight modules over a Schr{ö}dinger-Virasoro type algebra

Jiajia Wen, Zhongyin Xu, Yanyong Hong

In this paper, we give a complete classification of all free $U (C L_{0} \oplus C Y_{0} \oplus C M_{0})$ -modules of rank 1 over a Schr{ö}dinger-Virasoro type algebr…

math.RA2021★ 2 cited

Extending structures for Lie bialgebras

Yanyong Hong

Let $(g, [\cdot, \cdot], δ_{g})$ be a fixed Lie bialgebra, $E$ be a vector space containing $g$ as a subspace and $V$ be a complement of $\mathfrak{g}…

math.QA2021

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…

math.RT2021

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 $H$ is of rank one. We also describe the actions of $\…

math.RT2021

Finite irreducible modules of a class of $Z^{+}$ -graded Lie conformal algebras

Maosen Xu, Yanyong Hong

In this paper, we introduce the notion of completely non-trivial module of a Lie conformal algebra. By this notion, we classify all finite irreducible modules of a class of $\mathb…

math.RA2020

Classifying complements for conformal algebras

Yanyong Hong

Let $R \subseteq E$ be two Lie conformal algebras and $Q$ be a given complement of $R$ in $E$ . Classifying complements problem asks for describing and classifying all complements of…

math.RT2020★ 2 cited

The Heisenberg-Virasoro Lie conformal superalgebra

Haibo Chen, Xiansheng Dai, Yanyong Hong

In this paper, we introduce a finite Lie conformal superalgebra called the Heisenberg-Virasoro Lie conformal superalgebra $s$ by using a class of Heisenberg-Virasoro Lie…

math.RT2020★ 6 cited

Finite irreducible conformal modules over the Lie conformal superalgebra $S (p)$

Haibo Chen, Yanyong Hong, Yucai Su

In the present paper, we introduce a class of infinite Lie conformal superalgebras $S (p)$ , which are closely related to Lie conformal algebras of extended Block type defi…

math.RT2019★ 1 cited

New irreducible non-weight Virasoro modules from tensor products

Haibo Chen, Jianzhi Han, Yanyong Hong +1

In this paper, we present a class of non-weight Virasoro modules $M (V, Ω (λ_{0}, α_{0})) \otimes ⨂_{i = 1}^{m} Ω (λ_{i}, α_{i})$ where $Ω (λ_{i}, α_{i})$ and $\mathcal{M}\big(V,Ω(…

math.RT2019★ 1 cited

Finite irreducible conformal modules over the extended Block type Lie conformal algebra $B (α, β, p)$

Haibo Chen, Yanyong Hong, Yucai Su

In this paper, we introduce a class of infinite Lie conformal algebras $B (α, β, p)$ , which are the semi-direct sums of Block type Lie conformal algebra $B (p)$ a…

math.RT2019

Extensions of finite irreducible modules of Lie conformal algebras $W (a, b)$ and some Schrödinger-Virasoro type Lie conformal algebras

Lipeng Luo, Yanyong Hong, Zhixiang Wu

Lie conformal algebras $W (a, b)$ 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…

math.RT2019

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…

math.RA2019

Unified products of Leibniz conformal algebras

Yanyong Hong, Lamei Yuan

The aim of this paper is to provide an answer to the $C [\partial]$ -split extending structures problem for Leibniz conformal algebras, which asks that how to describe all L…

math.QA2019

Finite irreducible modules of Lie conformal algebras $W (a, b)$ and some Schrödinger-Virasoro type Lie conformal algebras

Lipeng Luo, Yanyong Hong, Zhixiang Wu

Lie conformal algebras $W (a, b)$ are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this paper, we first give…

math.RA2018

Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $W (a, b)$

Deng Liu, Yanyong Hong, Hao Zhou +1

In this paper, under some natural condition, a complete classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $W (a, b)$ i…

math.RA2018★ 18 cited

Conformal classical Yang-Baxter equation, $S$ -equation and $O$ -operators

Yanyong Hong, Chengming Bai

Conformal classical Yang-Baxter equation and $S$ -equation naturally appear in the study of Lie conformal bialgebras and left-symmetric conformal bialgebras. In this paper, they are…

math.RA2017★ 17 cited

Extending structures for associative conformal algebras

Yanyong Hong

In this paper, we give a study of the $C [\partial]$ -split extending structures problem for associative conformal algebras. Using the unified product as a tool, which inclu…

math.RT2016★ 3 cited

A family of new simple modules over the Schrödinger-Virasoro algebra

Haibo Chen, Yanyong Hong, Yucai Su

In this article, a large class of simple modules over the Schrödinger-Virasoro algebra $G$ are constructed, which include highest weight modules and Whittaker modules. Th…

math.QA2016

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{…

math.QA2016★ 1 cited

Generalized conformal derivations of Lie conformal algebras

Guangzhe Fan, Yanyong Hong, Yucai Su

Let $R$ be a Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra $C D er (R)$ , the conformal quasiderivation algebra $Q D er (R)$ and the…

Conformal triple derivations and triple homomorphisms of Lie conformal algebras

One-dimensional central extensions and simplicities of a class of left-symmetric conformal algebras

Algebraic constructions for left-symmetric conformal algebras

Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality

Non-weight modules over a Schr{ö}dinger-Virasoro type algebra

Extending structures for Lie bialgebras

On antisymmetric infinitesimal conformal bialgebras

Finite irreducible conformal modules of rank two Lie conformal algebras

Finite irreducible modules of a class of Z+-graded Lie conformal algebras

Classifying complements for conformal algebras

The Heisenberg-Virasoro Lie conformal superalgebra

Finite irreducible conformal modules over the Lie conformal superalgebra S(p)

New irreducible non-weight Virasoro modules from tensor products

Finite irreducible conformal modules over the extended Block type Lie conformal algebra B(α,β,p)

Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras

On a class of infinite simple Lie conformal algebras

Unified products of Leibniz conformal algebras

Finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras

Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b)

Conformal classical Yang-Baxter equation, S-equation and O-operators

Extending structures for associative conformal algebras

A family of new simple modules over the Schrödinger-Virasoro algebra

Quadratic Leibniz conformal algebras

Generalized conformal derivations of Lie conformal algebras

Finite irreducible modules of a class of $Z^{+}$ -graded Lie conformal algebras

Finite irreducible conformal modules over the Lie conformal superalgebra $S (p)$

Finite irreducible conformal modules over the extended Block type Lie conformal algebra $B (α, β, p)$

Extensions of finite irreducible modules of Lie conformal algebras $W (a, b)$ and some Schrödinger-Virasoro type Lie conformal algebras

Finite irreducible modules of Lie conformal algebras $W (a, b)$ and some Schrödinger-Virasoro type Lie conformal algebras

Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $W (a, b)$

Conformal classical Yang-Baxter equation, $S$ -equation and $O$ -operators