Abacus models for parabolic quotients of affine Weyl groups
Combinatorics
2012-03-12 v2
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.
Keywords
Cite
@article{arxiv.1105.5333,
title = {Abacus models for parabolic quotients of affine Weyl groups},
author = {Christopher R. H. Hanusa and Brant C. Jones},
journal= {arXiv preprint arXiv:1105.5333},
year = {2012}
}
Comments
28 pages, To appear, Journal of Algebra. Version 2: Updated with referee's comments