Extensions of finite irreducible modules of Lie conformal algebras and some Schrödinger-Virasoro type Lie conformal algebras

Abstract

Lie conformal algebras are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this article, we give a complete classification of extensions of finite irreducible conformal modules of With a similar method, we characterize all extensions of finite irreducible conformal modules of Schrödinger-Virasoro type Lie conformal algebras TSV(a, b) and TSV(c).