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arXiv · 1712.08903

Hopf algebras for matroids over hyperfields

Christopher Eppolito·Jaiung Jun·Matt Szczesny
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Abstract

Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the notion of minors and direct sums from ordinary matroids to matroids over hyperfields. Using this we generalize the classical construction of matroid-minor Hopf algebras to the case of matroids over hyperfields.

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Christopher Eppolito, Jaiung Jun, Matt Szczesny. 2017-12-24. Hopf algebras for matroids over hyperfields. https://arxiv.org/abs/1712.08903

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