2000/05/30 by P. Etingof, Etingof, P., O. Schiffmann +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.math/0005282
17 pages, Latex
arxiv created 2000/05/30 · arxiv updated 2009/11/30
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.