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Minimal determining sets for certain $W$-graph ideals | ||
| International Journal of Group Theory | ||
| مقاله 23، دوره 12، شماره 3، آذر 2023، صفحه 123-151 اصل مقاله (545.69 K) | ||
| نوع مقاله: Ischia Group Theory 2020/2021 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.131838.1764 | ||
| نویسندگان | ||
| Thomas P. McDonough1؛ Christos A. Pallikaros* 2 | ||
| 1Department of Mathematics, Aberystwyth University, Aberystwyth SY23 3BZ, United Kingdom | ||
| 2Department of Mathematics and Statistics, University of Cyprus, P.O.Box 20537, 1678 Nicosia, Cyprus | ||
| چکیده | ||
| 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]. | ||
| کلیدواژه‌ها | ||
| $W$-graph ideal؛ Kazhdan-Lusztig cell؛ reduced form | ||
| مراجع | ||
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