The automorphisms of affine fusion rings

Details The automorphisms of affine fusion rings The automorphisms of affine fusion rings

2000-02-07

arxiv.org/abs/math/0002044v1

Mathematics

Quantum Algebra

24 pages, plain tex

Scientific paper

The fusion rings associated to affine Kac-Moody algebras appear in several different contexts in math and mathematical physics. In this paper we find all automorphisms of all affine fusion rings, or equivalently the symmetries of the corresponding fusion coefficients. Most of these are directly related to symmetries of the corresponding Coxeter-Dynkin diagram. We also find all pairs of isomorphic affine fusion rings.

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