Combinatorial Structure of Finite Dimensional Representations of Yangians: the Simply-Laced Case
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
We compute the decomposition of representations of Yangians into g-modules for simply-laced Lie algebras g. The decomposition has an interesting combinatorial tree structure. Results depend on a conjecture of Kirillov and Reshetikhin.
Keywords
Cite
@article{arxiv.q-alg/9611032,
title = {Combinatorial Structure of Finite Dimensional Representations of Yangians: the Simply-Laced Case},
author = {Michael Kleber},
journal= {arXiv preprint arXiv:q-alg/9611032},
year = {2008}
}
Comments
LaTeX, 15 pages, one diagram using Paul Taylor's diagrams package. To appear in IMRN 1997 #4. Minor revision to correct small errors and incorporate referee's comments