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

摘要

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 article, we give a complete classification of extensions of finite irreducible conformal modules of W(a, b): With a similar method, we characterize all extensions of finite irreducible conformal modules of Schrodinger-Virasoro type Lie conformal algebras TSV(a, b) and TSV(c).