Infinite rank Schrodinger-Virasoro type Lie conformal algebras

Abstract

Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrodinger-Virasoro algebras, we construct a class of infinite rank Lie conformal algebras CSV (a, b), where a, b are complex numbers. The conformal derivations of CSV (a, b) are uniformly determined. The rank one conformal modules and Z-graded free intermediate series modules over CSV (a, b) are classified. Corresponding results of the conformal subalgebra CHV (a, b) of CSV (a, b) are also presented.

14pages

References in corpus (2)

• Loop Heisenberg-Virasoro Lie Conformal algebra
• Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra $g{c}_1$

Cited by in corpus (1)

• Structure of a class of Lie conformal algebras of Block type