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arXiv · 1605.01777

The equivariant Kazhdan-Lusztig polynomial of a matroid

Katie Gedeon·Nicholas Proudfoot·Ben Young
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Abstract

We define the equivariant Kazhdan-Lusztig polynomial of a matroid equipped with a group of symmetries, generalizing the nonequivariant case. We compute this invariant for arbitrary uniform matroids and for braid matroids of small rank.

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Katie Gedeon, Nicholas Proudfoot, Ben Young. 2016-11-22. The equivariant Kazhdan-Lusztig polynomial of a matroid. https://arxiv.org/abs/1605.01777

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