Dual canonical bases, quantum shuffles and q-characters
- First Online:
- Cite this article as:
- Leclerc, B. Math. Z. (2004) 246: 691. doi:10.1007/s00209-003-0609-9
- 148 Downloads
Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field.