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).
Extended affine Weyl groups and Frobenius manifolds / Dubrovin, Boris; Zhang, Y.. - In: COMPOSITIO MATHEMATICA. - ISSN 0010-437X. - 111:2(1998), pp. 167-219. [10.1023/A:1000258122329]
Extended affine Weyl groups and Frobenius manifolds
Dubrovin, Boris;
1998-01-01
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(t(1),...,t(n)) of WDVV equations of associativity polynomial in t(1),..., t(n-1), exp t(n).File in questo prodotto:
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