Minimal determining sets for certain $W$-graph ideals
| Autor: | Thomas McDonough, Christos Pallikaros |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | International Journal of Group Theory, Vol 12, Iss 3, Pp 123-151 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2251-7650 2251-7669 |
| DOI: | 10.22108/ijgt.2022.131838.1764 |
| Popis: | 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]. |
| Databáze: | Directory of Open Access Journals |
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