Equivariant Kazhdan–Lusztig theory of paving matroids
Trevor Karn, George D. Nasr, Nicholas Proudfoot, Lorenzo Vecchi
Source abstract
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.
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