English

On classification and construction of algebraic Frobenius manifolds

Exactly Solvable and Integrable Systems 2009-11-13 v3

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.

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Cite

@article{arxiv.0706.0960,
  title  = {On classification and construction of algebraic Frobenius manifolds},
  author = {Yassir Ibrahim Dinar},
  journal= {arXiv preprint arXiv:0706.0960},
  year   = {2009}
}

Comments

20 pages