Dorey’s Rule and the q-Characters of Simply-Laced Quantum Affine Algebras

Charles Young; R Zegers

doi:10.1007/s00220-011-1189-x

Dorey’s Rule and the q-Characters of Simply-Laced Quantum Affine Algebras

Charles Young, R Zegers

Mathematics

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Abstract

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 .

Original language	English
Pages (from-to)	789-813
Number of pages	25
Journal	Communications in Mathematical Physics
Volume	302
Issue number	3
DOIs	https://doi.org/10.1007/s00220-011-1189-x
Publication status	Published - Mar 2011

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Dorey’s Rule and the q-Characters of Simply-Laced Quantum Affine Algebras

Abstract

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