Abacus models for parabolic quotients of affine Weyl groups

详细信息    查看全文

• 作者：Christopher R.H. Hanusa^a ; ^{christopher.hanusa@qc.cuny.edu} ; ; Brant C. Jones^b ; ^{brant@math.jmu.edu} ;
• 关键词：Abacus ; Core partition ; Bounded partition ; Grassmannian ; Affine Weyl group
• 刊名：Journal of Algebra
• 出版年：2012
• 出版时间：1 July, 2012
• 年：2012
• 卷：361
• 期：Complete
• 页码：134-162
• 全文大小：539 K

文摘

We introduce abacus diagrams that describe the minimal length coset representatives of affine Weyl groups in types , , and . These abacus diagrams use a realization of the affine Weyl group 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 related to core partitions.