Path description of type B q-characters

We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a...

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Bibliographic Details
Published inarXiv.org
Main Authors Mukhin, E, Young, C A S
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.03.2011
Subjects
Affine transformations
Mathematics - Combinatorics
Mathematics - Quantum Algebra
Polynomials
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Summary:We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki.
ISSN:2331-8422
DOI:10.48550/arxiv.1103.5873