Abacus models for parabolic quotients of affine Weyl groups

作者：Hanusa Christopher R N; Jones Brant C^*

来源：Journal of Algebra, 2012, 361: 134-162.

DOI：10.1016/j.jalgebra.2012.03.029

• Abacus
• Core partition
• Bounded partition
• Grassmannian
• Affine Weyl group

We introduce abacus diagrams that describe the minimal length coset representatives of affine Weyl groups in types (C) over tilde /C, (B) over tilde /D, (B) over tilde /B and (D) over tilde /D. These abacus diagrams use a realization of the affine Weyl group (C) over tilde 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 type (A) over tilde related to core partitions.

• 出版日期2012-7-1