TY - JOUR
T1 - Minimal determining sets for certain W-graph ideals
AU - McDonough, Thomas P.
AU - Pallikaros, Christos A.
N1 - Publisher Copyright:
© 2023 University of Isfahan.
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 - http://www.scopus.com/inward/record.url?scp=85141387540&partnerID=8YFLogxK
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 -