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arXiv · 2112.06239

Minimal determining sets for certain $W$-graph ideals

T. P. McDonough·C. A. Pallikaros
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Abstract

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 [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].

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BibTeXRIS

T. P. McDonough, C. A. Pallikaros. 2021-12-12. Minimal determining sets for certain $W$-graph ideals. https://arxiv.org/abs/2112.06239

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