A free subalgebra of the algebra of matroids

Details A free subalgebra of the algebra of matroids A free subalgebra of the algebra of matroids

2004-09-02

arxiv.org/abs/math/0409028v2

Mathematics

Combinatorics

19 pages, 3 figures. Accepted for publication in the European Journal of Combinatorics. This version incorporates a few minor

Scientific paper

This paper is an initial inquiry into the structure of the Hopf algebra of
matroids with restriction-contraction coproduct. Using a family of matroids
introduced by Crapo in 1965, we show that the subalgebra generated by a single
point and a single loop in the dual of this Hopf algebra is free.

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