Geodesic
Kazhdan-Lusztig polynomials of thagomizer matroids
Katie R. Gedeon1
1University of Oregon
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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We introduce thagomizer matroids and compute the Kazhdan-Lusztig polynomial of a rank $n+1$ thagomizer matroid by showing that the coefficient of $t^k$ is equal to the number of Dyck paths of semilength $n$ with $k$ long ascents. We also give a conjecture for the $S_n$-equivariant Kazhdan-Lusztig polynomial of a thagomizer matroid.
DOI : 10.37236/6567
Classification : 05B35, 05A15, 20C30, 52B40
Mots-clés : matroid theory, Kazhdan-Lusztig polynomials, generating functions, Schur functions

Katie R. Gedeon  1

1 University of Oregon 
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     title = {Kazhdan-Lusztig polynomials of thagomizer matroids},
     journal = {The electronic journal of combinatorics},
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Katie R. Gedeon. Kazhdan-Lusztig polynomials of thagomizer matroids. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6567

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