A type \(B\) analog of Ish arrangement

Research output: Working paper/Preprint › Preprint

Authors

  • Nhat Tan Tran
  • Shuhei Tsujie

Research Organisations

External Research Organisations

  • Hokkaido University of Education
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Details

Original languageEnglish
Publication statusE-pub ahead of print - 24 Apr 2023

Abstract

The Shi arrangement due to Shi (1986) and the Ish arrangement due to Armstrong (2013) are deformations of the type \(A\) Coxeter arrangement that share many common properties. Motivated by a question of Armstrong and Rhoades since 2012 to seek for Ish arrangements of other types, in this paper we introduce an Ish arrangement of type \(B\). We study this Ish arrangement through various aspects similar to as known in type \(A\)with a main emphasis on freeness and supersolvability. Our method is based on the concept of \(\psi\)-digraphic arrangements recently introduced due to Abe and the authors with a type \(B\) extension.

Keywords

    math.CO, 52C35, 05C22, 13N15

Cite this

A type \(B\) analog of Ish arrangement. / Tran, Nhat Tan; Tsujie, Shuhei.
2023.

Research output: Working paper/Preprint › Preprint

Tran, NT & Tsujie, S 2023 'A type \(B\) analog of Ish arrangement'.
Tran, N. T., & Tsujie, S. (2023). A type \(B\) analog of Ish arrangement. Advance online publication.
Tran NT, Tsujie S. A type \(B\) analog of Ish arrangement. 2023 Apr 24. Epub 2023 Apr 24.
Tran, Nhat Tan ; Tsujie, Shuhei. / A type \(B\) analog of Ish arrangement. 2023.
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