The freeness of Ish arrangements

Takuro Abe, Daisuke Suyama, Shuhei Tsujie

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

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
ページ(範囲)169-183
ページ数15
ジャーナルJournal of Combinatorial Theory. Series A
146
DOI
出版ステータス出版済み - 2 1 2017

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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