Almost duality for Saito structure and complex reflection groups II: the case of Coxeter and Shephard groups

被引：0

作者：

Konishi, Yukiko ^{[1
]}

Minabe, Satoshi ^{[2
]}

机构：

[1] Tsuda Univ, Coll Liberal Arts, Dept Math, Tokyo 1878577, Japan

[2] Tokyo Denki Univ, Dept Math, Tokyo 1208551, Japan

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2020年 / 16卷 / 03期

关键词：

Frobenius structures; Saito structures; Coxeter groups; Shephard groups;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is a sequel to [6]. 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 [12] and Dubrovin [4]. The other is the natural Saito structures constructed by Kato-Mano-Sekiguchi [5] and by Arsie-Lorenzoni [1]. We study the relationship between these two Saito structures from the viewpoint of almost duality.

引用

页码：721 / 754

页数：34

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