Schur positivity and Kirillov-Reshetikhin modules

Ghislain Fourier , David Hernandez (1)

1 IMJ - Institut de Mathématiques de Jussieu

In this note, inspired by the proof of the Kirillov-Reshetikhin conjecture, we consider tensor products of Kirillov-Reshetikhin modules of a fixed node and various level. We fix a positive integer and attach to each of its partitions such a tensor product. We show that there exists an embedding of the tensor products, with respect to the classical structure, along with the reverse dominance relation on the set of partitions.

Domaines: Théorie des représentations [math.RT]; Algèbres quantiques [math.QA]

Ghislain Fourier, David Hernandez. Schur positivity and Kirillov-Reshetikhin modules. 2014. ⟨hal-00966807⟩