Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Characters of Fundamental Representations of Quantum Affine Algebras

Characters of Fundamental Representations of Quantum Affine Algebras 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Characters of Fundamental Representations of Quantum Affine Algebras

Loading next page...
 
/lp/springer-journals/characters-of-fundamental-representations-of-quantum-affine-algebras-EdMALpfxrn

References (19)

Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer Science + Business Media B.V.
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-006-9030-9
Publisher site
See Article on Publisher Site

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.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jun 27, 2006

There are no references for this article.