Central extensions of classical and quantum q-Viraroso algebras
Quantum Algebra
2009-10-31 v1
Abstract
We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A_{q,p}[sl(N)_c]. After establishing the expressions of the cocycle conditions, we solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that those found previously in the literature.
Keywords
Cite
@article{arxiv.math/9806065,
title = {Central extensions of classical and quantum q-Viraroso algebras},
author = {J. Avan and L. Frappat and M. Rossi and P. Sorba},
journal= {arXiv preprint arXiv:math/9806065},
year = {2009}
}
Comments
Latex2e, needs amsfonts and amssymb packages