In this paper, extensions between finite conformal modules over the Heisenberg–Virasoro conformal algebra are classified.

Let W (b) be a class of free Lie conformal algebras of rank 2 with C[∂ ]-basis {L, H} and relationswhere b is a nonzero complex number. In this paper, we classify extensions between two finite irreducible conformal modules over the Lie conformal algebras W (b).

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.

No abstract