On classification and construction of algebraic Frobenius manifolds
arXiv:0706.0960 · doi:10.1016/j.geomphys.2008.04.001
Abstract
We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.
20 pages