Extended affine Weyl groups and Frobenius manifolds |
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| Authors: | Boris Dubrovin Youjin Zhang |
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| Institution: | (1) SISSA, Via Beirut 2–4, 34014 Trieste, Italy;(2) Steklov Mathematics Institute, Moscow;(3) Department of Mathematics, University of Science and Technology of China, Hefei |
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| Abstract: | 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(t1, ..., tn) of WDVV equations of associativity polynomial in t1, ..., tn-1, exp tn. |
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| Keywords: | root systems affine Weyl groups Frobenius manifolds flat coordinates WDVV equations |
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