English

Frobenius structures and characters of affine Lie algebras

Algebraic Geometry 2017-10-31 v2 Representation Theory

Abstract

The explicit description of the Frobenius structure for the elliptic root system of type D4(1,1)D_4^{(1,1)} in terms of the characters of an affine Lie algebra of type D4(1)D_4^{(1)} is given.

Keywords

Cite

@article{arxiv.1708.03875,
  title  = {Frobenius structures and characters of affine Lie algebras},
  author = {Ikuo Satake},
  journal= {arXiv preprint arXiv:1708.03875},
  year   = {2017}
}

Comments

35 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