Minimal determining sets for certain W-graph ideals

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, ۵۹ (۲۰۱۸) no.~۳ ۵۲۳--۵۴۷] and [Journal of Algebra and Its Applications, ۲۰ (۲۰۲۱) no.~۱۰ ۲۱۵۰۱۸۱], 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, ۳۶۱ (۲۰۱۲) ۱۸۸--۲۱۲].

کلیدواژه ها:

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