Hopf algebras for matroids over hyperfields
Combinatorics
2017-12-27 v1 Commutative Algebra
Algebraic Geometry
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.
Cite
@article{arxiv.1712.08903,
title = {Hopf algebras for matroids over hyperfields},
author = {Christopher Eppolito and Jaiung Jun and Matt Szczesny},
journal= {arXiv preprint arXiv:1712.08903},
year = {2017}
}
Comments
25 pages