Minimal determining sets for certain $W$-graph ideals
Representation Theory
2021-12-14 v1
Abstract
We consider Kazhdan-Lusztig cells of the symmetric group containing the longest element of a standard parabolic subgroup of . 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 -graph ideals introduced in [Journal of Algebra, 361 (2012), 188-212].
Cite
@article{arxiv.2112.06239,
title = {Minimal determining sets for certain $W$-graph ideals},
author = {T. P. McDonough and C. A. Pallikaros},
journal= {arXiv preprint arXiv:2112.06239},
year = {2021}
}