Kazhdan-Lusztig Polynomials of Thagomizer Matroids
نویسندگان
چکیده
منابع مشابه
Kazhdan-Lusztig Polynomials of Thagomizer Matroids
We introduce thagomizer matroids and compute the Kazhdan-Lusztig polynomial of a rank n+1 thagomizer matroid by showing that the coefficient of tk is equal to the number of Dyck paths of semilength n with k long ascents. We also give a conjecture for the Sn-equivariant Kazhdan-Lusztig polynomial of a thagomizer matroid.
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A nonrecursive scheme is presented to compute the KazhdanLusztig polynomials associated to a classical Hermitian symmetric space, extending a result of Lascoux-Schutzenberger for grassmannians. The polynomials for the exceptional Hermitian domains are also tabulated. All the KazhdanLusztig polynomials considered are shown to be monic.
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2017
ISSN: 1077-8926
DOI: 10.37236/6567