Frobenius structures and characters of affine Lie algebras

TL;DR

This paper explicitly describes the Frobenius structure associated with a specific elliptic root system using characters from an affine Lie algebra, linking algebraic structures with representation theory.

Contribution

It provides a novel explicit description of the Frobenius structure for the elliptic root system of type D4^{(1,1)} using affine Lie algebra characters.

Findings

Explicit Frobenius structure for D4^{(1,1)}

Connection between elliptic root systems and affine Lie algebra characters

New algebraic insights into elliptic root systems

Abstract

The explicit description of the Frobenius structure for the elliptic root system of type $D_4^{(1,1)}$ in terms of the characters of an affine Lie algebra of type $D_4^{(1)}$ is given.