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Boris Dubrovin, Youjin Zhang
2017 Compositio Mathematica  
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 Ft1; : : : ; t n of WDVV equations of associativity polynomial in t1, : : : , t n , 1 , exp tn. Mathematics Subject Classifications (1991). 32M10, 14B07, 20H15.
doi:10.1023/a:1000258122329 fatcat:ehora5igqvdd7haq5xkmbrslvi