arXiv subjects

Kaijing Ling

Publications and source records attributed to Kaijing Ling.

2 recordsLinked to original sources

arXiv2019

Extensions of Schrödinger-Virasoro conformal modules

In this paper, we study extensions between two finite irreducible conformal modules over the Schrödinger-Virasoro conformal algebra and the extended Schrödinger-Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schrödinger-Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg-Virasoro conformal modules.

math.RA↗

arXiv2018

Extensions of modules over a class of Lie conformal algebras $\mathcal{W}(b)$

Let $\mathcal{W}(b)$ be a class of free Lie conformal algebras of rank $2$ with $\mathbb{C}[\partial]$-basis ${L,H}$ and relations \begin{eqnarray*} [L_λL]=(\partial+2λ)L,\ \ [L_λH]=\big(\partial+(1-b)λ\big)H, \ \ [H_λH]=0, \end{eqnarray*} where $b$ is a nonzero complex number. In this paper, we classify extensions between two finite irreducible conformal modules over the Lie conformal algebras $\mathcal{W}(b)$.

math.RA↗