It is known that the orbit spaces of the finite Coxeter groups and the Shephard groups admit two types of Saito structures without metric. One is the underlying structures of the Frobenius structures constructed by Saito and Dubrovin. The other is the natural Saito constructed by Kato-Mano-Sekiguchi and by Arsie-Lorenzoni. We study the relationship between these two Saito structures from the viewpoint of almost duality.

中文翻译：

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Saito 结构和复反射群的几乎对偶性 II：Coxeter 和 Shephard 群的情况

已知有限 Coxeter 群和 Shephard 群的轨道空间允许两种无度量的 Saito 结构。一个是由 Saito 和 Dubrovin 建造的 Frobenius 结构的底层结构。另一个是由加藤真野关口和阿尔西·洛伦佐尼建造的天然斋藤。我们从近乎二元性的角度研究这两种斋藤结构之间的关系。