Extensions of Schrödinger–Virasoro conformal modules

Abstract

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.

Keywords:

• Conformal module
• extended Schrödinger–Virasoro conformal algebra
• extension
• Schrödinger–Virasoro conformal algebra

MR(2000) SUBJECT CLASSIFICATION:

• 17B10
• 17B65
• 17B68

Funding

This work was supported by National Natural Science Foundation of China [grant number 11301109]; the Research Fund for the Doctoral Program of Higher Education [grant number 20132302120042]; and China Scholarship Council.