Loop Schrödinger-Virasoro Lie conformal algebra

Abstract

In this paper, we introduce two kinds of Lie conformal algebras associated with the loop Schrödinger-Virasoro Lie algebra and the extended loop Schrödinger-Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank one and Z-graded free intermediate series modules over these two conformal algebras are also classified in the present paper

18 Pages

References in corpus (1)

• Derivations, automorphisms and second cohomology of generalized loop Schrödinger-Virasoro algebras

Cited by in corpus (4)

• Central extensions and conformal derivations of a class of Lie conformal algebras
• Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
• Schrodinger-Virasoro Lie $H$-pseudoalgebras
• Extensions of finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schrödinger-Virasoro type Lie conformal algebras