On classification and construction of algebraic Frobenius manifolds

Details On classification and construction of algebraic Frobenius manifolds On classification and construction of algebraic Frobenius manifolds

2007-06-07

arxiv.org/abs/0706.0960v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

10.1016/j.geomphys.2008.04.001

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.

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