• Corpus ID: 115158120

Frobenius manifolds associated to Coxeter groups of type E_7 and E_8

  title={Frobenius manifolds associated to Coxeter groups of type E\_7 and E\_8},
  author={Devis Abriani},
  journal={arXiv: Differential Geometry},
  • Devis Abriani
  • Published 28 October 2009
  • Mathematics
  • arXiv: Differential Geometry
Flat coordinates for Frobenius manifolds defined on the orbit space of a Coxeter group W are specified through a certain system of generators of W-invariant polynomials. In this note, starting from basic invariants proposed by M.Mehta, we calculate flat coordinates for the exceptional groups of type E_7 and E_8, leading to a derivation of the potentials for the associated Frobenius structures. 

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