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Flat coordinates for Frobenius manifolds defined on the orbit space of a Coxeter group W are specified through a certain system of generators of W-invariant polynomials.
Coxeter H.S.M., Discrete groups generated by reflections, Ann. Math. 35
1934
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Coxeter H.S.M., The product of the generators of a finite group generated by reflections, Duke Math. J. 18
1951
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Chevalley C., Invariants of finite groups generated by reflections, Amer. J. Math. 77
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Saito K., Extended affine root systems II (flat invariants), Publ. RIMS, Kyoto Univ. 26
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Saito K., Yano T. and Sekiguchi J., On a certain generator system of the ring of invariants of a finite refection group, Comm. Alg. 8
1980
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Yano T., Free deformation for isolated singularity, Sci. Rep. Saitama Univ. A9
1980
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Kato M. and Watanabe S., The flat coordinate system of the rational double point of E 8 E_{8} type, Bull. Coll. Sci., Univ. Ryukyus 32
1981
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Mehta M.L., Basic set of invariant polynomials for finite reflection groups, Comm. Alg. 16
1988
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Di Francesco P., Lesage F., Zuber J.-B., Graph rings and integrable perturbations of N=2 superconformal theories, Nucl. Phys. B408
1993
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Saito K., On a linear structure of the quotient variety by a finite reflexion group, Publ. RIMS, Kyoto Univ. 29(4)
1993
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Dubrovin B., Geometry of 2D topological field theories, Lect. Notes in Math. 1620
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