Frobenius structures and characters of affine Lie algebras

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.

arXiv comment35 pages. In this revision, Proposition 5.4 in the previous version is divided into 4 Propositions (from Proposition 5.4 to Proposition 5.7). This paper is accepted for publication in Osaka Journal of Mathematics