Good Basic Invariants for Elliptic Weyl Groups and Frobenius Structures
Abstract: 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 $1$, we show that a set of good basic invariants gives a set of flat invariants obtained by Saito and Taylor coefficients of the good basic invariants give the structure constants of the multiplication of the Frobenius structure obtained by the author.
- I. Satake: Frobenius manifolds for elliptic root systems, Osaka J. Math. 47 (2010) 301-330.
- I. Satake: Frobenius structures and characters of affine Lie algebras, Osaka J. Math. 56 (2019) 183-212.
- I. Satake: Good basic invariants and Frobenius structure, arXiv:2004.01871 [math.AG].
- T. A. Springer: Regular elements of finite reflection groups, Inventiones math. 25 (1974) 159–198.
Paper Prompts
Sign up for free to create and run prompts on this paper.