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Journal | Communications in Mathematical Physics |
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Date | Published - Mar 2011 |

Issue number | 3 |

Volume | 302 |

Number of pages | 25 |

Pages (from-to) | 789-813 |

Original language | English |

Let be the quantum affine algebra associated to a simply-laced simple Lie algebra . We examine the relationship between Dorey’s rule, which is a geometrical statement about Coxeter orbits of -weights, and the structure of q-characters of fundamental representations V i,a of . In particular, we prove, without recourse to the ADE classification, that the rule provides a necessary and sufficient condition for the monomial 1 to appear in the q-character of a three-fold tensor product ViaVjbVkc .

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