Differential Geometry of Orbit space of Extended Affine Jacobi Group A_n

2020/03/24 by Almeida, Guilherme F. · 2 citations
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2004.01780

Abstract

We define certain extensions of Jacobi groups of A_n, prove an analogue of Chevalley Theorem for their invariants, and construct a Dubrovin Frobenius structure on it orbit space.

Cited by

• Dubrovin duality for open Hurwitz flat F-manifolds
• Frobenius manifold for the nodal quiver

Related

• Extended affine Weyl groups and Frobenius manifolds
• Adjoint orbits of the Jacobi group
• Extended affine Weyl groups and Frobenius manifolds -- II
• Generalized Frobenius Manifold Structures on the Orbit Spaces of Affine Weyl Groups I
• Differential Invariants in Algebra