on double cosets with the trivial intersection property and kazhdan-lusztig cells in $s_n$
نویسندگان
چکیده
for a composition $lambda$ of $n$ our aim is to obtain reduced forms for all the elements in the kazhdan-lusztig (right) cell containing $w_{j(lambda)}$, 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 $w_{j(lambda)}$.
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 4
شماره 2 2015
میزبانی شده توسط پلتفرم ابری doprax.com
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