Dinar, Yassir Ibrahim2007-06-072011-09-072007-06-072011-09-072007-06-07https://openscience.sissa.it/handle/1963/1978We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to the loop algebra proved to be equivalent to a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.217037 bytesapplication/pdfen-USPreprint