English

A Littlewood-Richardson rule for evaluation representations of quantum affine sl(n)

Representation Theory 2007-05-23 v1 Combinatorics Quantum Algebra

Abstract

We give a combinatorial description of the composition factors of the induction product of two evaluation modules of the affine Iwahori-Hecke algebra of type GL(m). Using quantum affine Schur-Weyl duality, this yields a combinatorial description of the composition factors of the tensor product of two evaluation modules of the quantum affine algebra of type sl(n).

Keywords

Cite

@article{arxiv.math/0401077,
  title  = {A Littlewood-Richardson rule for evaluation representations of quantum affine sl(n)},
  author = {Bernard Leclerc},
  journal= {arXiv preprint arXiv:math/0401077},
  year   = {2007}
}