The freeness of Ish arrangements

Takuro Abe, Daisuke Suyama, Shuhei Tsujie

研究成果: ジャーナルへの寄稿会議記事査読


The Ish arrangement was introduced by Armstrong to give a new interpretation of the q, t-Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some striking similarities between the Shi arrangement and the Ish arrangement and posed some problems. One of them is whether the Ish arrangement is a free arrangement or not. In this paper, we verify that the Ish arrangement is supersolvable and hence free. Moreover, we give a necessary and sufficient condition for the deleted Ish arrangement to be free.

ジャーナルDiscrete Mathematics and Theoretical Computer Science
出版ステータス出版済み - 1月 1 2015
イベント27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 - Daejeon, 韓国
継続期間: 7月 6 20157月 10 2015

!!!All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)
  • 離散数学と組合せ数学


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