抄録
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.
本文言語 | 英語 |
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ページ(範囲) | 273-284 |
ページ数 | 12 |
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 |
外部発表 | はい |
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 2015 → 7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