21 citations · 95 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
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…