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).
1998
111
2
167
219
Dubrovin, Boris; Zhang, Y.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13915
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