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VOL. 61 | 2011 On Frenkel–Mukhin algorithm for $q$-character of quantum affine algebras
Wakako Nakai, Tomoki Nakanishi

Editor(s) Koji Hasegawa, Takahiro Hayashi, Shinobu Hosono, Yasuhiko Yamada


The $q$-character is a strong tool to study finite-dimensional representations of quantum affine algebras. However, the explicit formula of the $q$-character of a given representation has not been known so far. Frenkel and Mukhin proposed the iterative algorithm which generates the $q$-character of a given irreducible representation starting from its highest weight monomial. The algorithm is known to work for various classes of representations. In this note, however, we give an example in which the algorithm fails to generate the $q$-character.


Published: 1 January 2011
First available in Project Euclid: 24 November 2018

zbMATH: 1241.81108
MathSciNet: MR2867151

Digital Object Identifier: 10.2969/aspm/06110327

Rights: Copyright © 2011 Mathematical Society of Japan


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