Minimal determining sets for certain W-graph ideals

Thomas P. McDonough; Christos A. Pallikaros

doi:10.22108/ijgt.2022.131838.1764

Minimal determining sets for certain W-graph ideals

Thomas P. McDonough
, Christos A. Pallikaros^*

^*Awdur cyfatebol y gwaith hwn

Adran Mathemateg

University of Cyprus

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

27 Wedi eu Llwytho i Lawr (Pure)

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We consider Kazhdan-Lusztig cells of the symmetric group S_n containing the longest element of a standard parabolic subgroup of S_n. 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].

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	123-151
Nifer y tudalennau	29
Cyfnodolyn	International Journal of Group Theory
Cyfrol	12
Rhif cyhoeddi	3
Dyddiad ar-lein cynnar	21 Tach 2022
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.22108/ijgt.2022.131838.1764
Statws	Cyhoeddwyd - 01 Medi 2023

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title = "Minimal determining sets for certain W-graph ideals",

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 [Beitr{\"a}ge 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].",

keywords = "Kazhdan-Lusztig cell, reduced form, W-graph ideal",

author = "McDonough, \{Thomas P.\} and Pallikaros, \{Christos A.\}",

note = "Publisher Copyright: {\textcopyright} 2023 University of Isfahan.",

year = "2023",

month = sep,

day = "1",

doi = "10.22108/ijgt.2022.131838.1764",

language = "English",

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pages = "123--151",

journal = "International Journal of Group Theory",

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TY - JOUR

T1 - Minimal determining sets for certain W-graph ideals

AU - McDonough, Thomas P.

AU - Pallikaros, Christos A.

PY - 2023/9/1

Y1 - 2023/9/1

N2 - 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].

AB - 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].

KW - Kazhdan-Lusztig cell

KW - reduced form

KW - W-graph ideal

UR - https://www.scopus.com/pages/publications/85141387540

U2 - 10.22108/ijgt.2022.131838.1764

DO - 10.22108/ijgt.2022.131838.1764

M3 - Article

AN - SCOPUS:85141387540

SN - 2251-7650

VL - 12

SP - 123

EP - 151

JO - International Journal of Group Theory

JF - International Journal of Group Theory

IS - 3

ER -

Minimal determining sets for certain W-graph ideals

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