Combinatorial Structure of Finite Dimensional Representations of Yangians: the Simply-Laced Case

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.

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