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1 results

  • Extended affine Weyl groups and Frobenius manifolds

  • BORIS DUBROVIN, Youjin ZHANG
  • Journal:
    Compositio Mathematica / Volume 111 / Issue 2 / April 1998
    Published online by Cambridge University Press:
    04 December 2007, pp. 167-219
    Print publication:
    April 1998
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  • We define certain extensions of affine Weyl groups (distinct from these considered by K. Saito [S1] in the theory of extended affine root systems), prove an analogue of Chevalley Theorem for their invariants, and construct a Frobenius structure on their orbit spaces. This produces solutions $F(t_1, …, t_n)$ of WDVV equations of associativity polynomial in $t_1, …, t_n-1$, exp $t_n$.