Abacus models for parabolic quotients of affine Weyl groups
Abstract
We introduce abacus diagrams that describe minimal length coset representatives in affine Weyl groups of types B, C, and D. These abacus diagrams use a realization of the affine Weyl group of type C due to Eriksson to generalize a construction of James for the symmetric group. We also describe several combinatorial models for these parabolic quotients that generalize classical results in affine type A related to core partitions.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2011
- DOI:
- 10.48550/arXiv.1105.5333
- arXiv:
- arXiv:1105.5333
- Bibcode:
- 2011arXiv1105.5333H
- Keywords:
-
- Mathematics - Combinatorics;
- 05E15
- E-Print:
- 28 pages, To appear, Journal of Algebra. Version 2: Updated with referee's comments