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

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

1996-11-25

arxiv.org/abs/q-alg/9611032v2

Internat. Math. Res. Notices 1997, no. 4, 187--201

Mathematics

Quantum Algebra

LaTeX, 15 pages, one diagram using Paul Taylor's diagrams package. To appear in IMRN 1997 #4. Minor revision to correct small

Scientific paper

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.

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