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arXiv · 1612.04343

A cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra

Eric Bucher·Jacob P. Matherne
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Abstract

In this paper, we give a cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra, using the technique of splitting and merging via a sign-reversing involution. The cancellation-free formula expresses the antipode of uniform matroids as a sum over certain ordered set partitions.

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Eric Bucher, Jacob P. Matherne. 2017-07-06. A cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra. https://arxiv.org/abs/1612.04343

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