Trevor Karn, George Nasr, Nicholas Proudfoot, Lorenzo Vecchi
Published 2022-02-14Version 1
We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the operation of relaxation of a collection of stressed hyperplanes. This allows us to compute these polynomials for arbitrary paving matroids, which we do in a number of examples, including various matroids associated with Steiner systems that admit actions of Mathieu groups.
Deletion formulas for equivariant Kazhdan-Lusztig polynomials of matroids
Distance-regular graphs obtained from the Mathieu groups $M_{11}$, $M_{12}$, $M_{22}$, $M_{23}$ and $M_{24}$
Induced log-concavity of equivariant matroid invariants
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