Kazhdan-Lusztig polynomials of thagomizer matroids (Q2401393)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kazhdan-Lusztig polynomials of thagomizer matroids |
scientific article |
Statements
Kazhdan-Lusztig polynomials of thagomizer matroids (English)
0 references
8 September 2017
0 references
Summary: 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.
0 references
matroid theory
0 references
Kazhdan-Lusztig polynomials
0 references
generating functions
0 references
Schur functions
0 references
