On the moduli space of classical dynamical r-matrices
Quantum Algebra
2007-05-23 v1
Abstract
We define and study the moduli space of classical dynamical r-matrices associated to a Lie algebra g and a subalgebra l of g. As opposed to the previous papers q-alg/9703040 and q-alg/9706017 we do not make any commutativity assumption on the subalgebra l. We extend the notion of gauge-transformation to this setting and show that, under some technical conditions, the space of dynamical r-matrices modulo gauge-transformations is isomorphic to an explicitly given affine variety.
Cite
@article{arxiv.math/0005282,
title = {On the moduli space of classical dynamical r-matrices},
author = {P. Etingof and O. Schiffmann},
journal= {arXiv preprint arXiv:math/0005282},
year = {2007}
}
Comments
17 pages, Latex