Characters of fundamental representations of quantum affine algebras

2005/03/01 by Vyjayanthi Chari, Chari, Vyjayanthi, Adriano Moura +1
Mathematics · #17B10 #20G42 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B10 #msc:20G42

paper · pdf · doi:10.48550/arxiv.math/0503020

18 pages. References added

arxiv created 2005/03/03 · arxiv updated 2009/12/01

Abstract

We give closed formulae for the q-characters of the fundamental representations of the quantum loop algebra of a classical Lie algebra in terms of a family of partitions satisfying some simple properties. We also give the multiplicities of the eigenvalues of the imaginary subalgebra in terms of these partitions.

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