Kazhdan-Lusztig polynomials of thagomizer matroids [article]

Katie R. Gedeon
2017 arXiv   pre-print
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.
arXiv:1610.05349v2 fatcat:c2kimkpenjb6zn53qkcyq3bpwi