Canonical bases and affine Hecke algebras of type D

Peng Shan (1) , Michela Varagnolo (2) , Eric Vasserot (1)

1 IMJ - Institut de Mathématiques de Jussieu
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

We prove a conjecture of Kashiwara and Miemietz on canonical bases and branching rules of affine Hecke algebras of type D. The proof is similar to the proof of the type B case.

Domaines: Théorie des représentations [math.RT]

Peng Shan, Michela Varagnolo, Eric Vasserot. Canonical bases and affine Hecke algebras of type D. 2009. ⟨hal-00442405v2⟩