The equivariant Kazhdan-Lusztig polynomial of a matroid
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🧮 math.CO
math.GR
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equivariantkazhdan-lusztigmatroidmatroidspolynomialarbitrarybraidcase
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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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