On realizations of the Virasoro algebra
Exactly Solvable and Integrable Systems
2013-10-11 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1310.2846,
title = {On realizations of the Virasoro algebra},
author = {Renat Zhdanov and Qing Huang},
journal= {arXiv preprint arXiv:1310.2846},
year = {2013}
}