21 citations · 95 across the 29 of their papers we have counts for
10 papers · 1 filter
Conformal triple derivations and triple homomorphisms of Lie conformal algebras
Sania Asif, Lipeng Luo, Yanyong Hong +1
Let be a finite Lie conformal algebra. In this paper, we first investigate the conformal derivation algebra , the conformal triple derivation algeb…
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…
Algebraic constructions for left-symmetric conformal algebras
Zhongyin Xu, Yanyong Hong
Let be a left-symmetric conformal algebra and be a -module. We introduce the notion of a unified product for left-symmetric conformal algebras and app…
Extending structures for Lie bialgebras
Yanyong Hong
Let be a fixed Lie bialgebra, be a vector space containing as a subspace and be a complement of $\mathfrak{g}…
Classifying complements for conformal algebras
Yanyong Hong
Let be two Lie conformal algebras and be a given complement of in . Classifying complements problem asks for describing and classifying all complements of…
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…
Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra
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 i…
Conformal classical Yang-Baxter equation, -equation and -operators
Yanyong Hong, Chengming Bai
Conformal classical Yang-Baxter equation and -equation naturally appear in the study of Lie conformal bialgebras and left-symmetric conformal bialgebras. In this paper, they are…
Extending structures for associative conformal algebras
Yanyong Hong
In this paper, we give a study of the -split extending structures problem for associative conformal algebras. Using the unified product as a tool, which inclu…
Extending structures and classifying complements for left-symmetric algebras
Yanyong Hong
Let be a left-symmetric (resp. Novikov) algebra, be a vector space containing as a subspace and be a complement of in .The extending structures problem which…