On realizations of the Virasoro algebra

Abstract

We obtain complete classification of in-equivalent realizations of the Virasoro algebra by Lie vector fields over the three-dimensional field of real numbers. As an application we construct new classes of nonlinear second-order partial differential equations possessing infinite-dimensional Lie symmetries.

Cited by in corpus (1)

• Extending Representations of sl(2) to Witt and Virasoro algebras