Extensions of finite irreducible modules over rank two Lie conformal algebra

TL;DR

This paper provides a comprehensive classification of how finite irreducible modules over rank two Lie conformal algebras can be extended, advancing understanding in the structure theory of these algebras.

Contribution

It offers the first complete classification of module extensions over rank two Lie conformal algebras, filling a gap in the representation theory of these structures.

Findings

Complete classification of extensions achieved

Identification of all possible extension types

Enhanced understanding of module structure over rank two Lie conformal algebras

Abstract

In this paper, we give a complete classification of extensions of finite irreducible conformal modules over rank two Lie conformal algebras.