Minimal determining sets for certain W-graph ideals

Thomas P. McDonough, Christos A. Pallikaros*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

We consider Kazhdan-Lusztig cells of the symmetric group Sn containing the longest element of a standard parabolic subgroup of Sn. Extending some of the ideas in [Beiträge zur Algebra und Geometrie, 59 (2018), no. 3, 523–547] and [Journal of Algebra and Its Applications, 20 (2021), no. 10, 2150181], we determine the rim of some additional families of cells and also of certain induced unions of cells. These rims provide minimal determining sets for certain W-graph ideals introduced in [Journal of Algebra, 361 (2012), 188–212].

Original languageEnglish
Pages (from-to)123-151
Number of pages29
JournalInternational Journal of Group Theory
Volume12
Issue number3
Early online date21 Nov 2022
DOIs
Publication statusPublished - 01 Sept 2023

Keywords

  • Kazhdan-Lusztig cell
  • reduced form
  • W-graph ideal

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