12 citations · 21 across the 8 of their papers we have counts for
8 papers
Good Basic Invariants for Elliptic Weyl Groups and Frobenius Structures
Ikuo Satake
In this paper, we define a set of good basic invariants for the elliptic Weyl group for the elliptic root system. For an elliptic root system of codimension , we show that a set…
Good Basic Invariants and Frobenius Structures
Ikuo Satake
In this paper, we define a set of good basic invariants for a finite complex reflection group under certain conditions. We show that a set of good basic invariants for a finite rea…
Reconstructing GKZ via topological recursion
Hiroyuki Fuji, Kohei Iwaki, Masahide Manabe +1
In this article, a novel description of the hypergeometric differential equation found from Gel'fand-Kapranov-Zelevinsky's system (referred to GKZ equation) for Givental's -func…
Frobenius structures and characters of affine Lie algebras
Ikuo Satake
The explicit description of the Frobenius structure for the elliptic root system of type in terms of the characters of an affine Lie algebra of type is gi…
Gromov--Witten invariants for mirror orbifolds of simple elliptic singularities
Ikuo Satake, Atsushi Takahashi
We consider a mirror symmetry of simple elliptic singularities. In particular, we construct isomorphisms of Frobenius manifolds among the one from the Gromov--Witten theory of a we…
An O(2,n) formulation of invariant theory for elliptic Weyl group
Ikuo Satake
In this paper, we give a new formulation of invariant theory for elliptic Weyl group using the group O(2,n). As an elliptic Weyl group quotient, we define a suitable $\C^*$-bundle.…