Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups II

TL;DR

This paper extends the construction of generalized Frobenius manifold structures to the orbit spaces of affine Weyl groups of types A, B, C, and D, building on previous work to broaden the understanding of these geometric structures.

Contribution

It applies a previously developed construction method to new affine Weyl group types, expanding the class of known Frobenius manifold structures.

Findings

Constructed Frobenius structures for types A, B, C, D affine Weyl groups.

Extended the framework from earlier work to additional group types.

Provided explicit examples of the generalized structures.

Abstract

This is a sequel to arXiv:2506.13656, in which an approach to construct a class of generalized Frobenius manifold structures on the orbit spaces of affine Weyl groups is presented. In this paper we apply this construction to the affine Weyl groups of type $A_\ell, B_\ell, C_\ell$ and $D_\ell$.