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On double cosets with the trivial intersection property and kazhdan-lusztig cells in Sn | ||
| International Journal of Group Theory | ||
| مقاله 5، دوره 4، شماره 2، شهریور 2015، صفحه 25-48 اصل مقاله (306.46 K) | ||
| نوع مقاله: Ischia Group Theory 2014 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2015.9795 | ||
| نویسندگان | ||
| Thomas P. McDonough1؛ Christos A. Pallikaros* 2 | ||
| 1Department of Mathematics, Aberystwyth University | ||
| 2Department of Mathematics and Statistics, University of Cyprus | ||
| چکیده | ||
| For a composition $\lambda$ of $n$ our aim is to obtain reduced forms for all the elements in the $w_{J(\lambda)}$, the longest element of the standard parabolic subgroup of $S_n$ corresponding to $\lambda$. We investigate how far this is possible to achieve by looking at elements of the form $w_{J(\lambda)}d$, where $d$ is a prefix of an element of minimum length in a $(W_{J(\lambda)},B)$ double coset with the trivial intersection property, $B$ being a parabolic subgroup of $S_n$ whose type is `dual' to that of $W_{J(\lambda)}$. | ||
| کلیدواژهها | ||
| symmetric group؛ Hecke algebra؛ Kazhdan-Lusztig cell؛ generalized tableau؛ parabolic subgroup | ||
| مراجع | ||
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