Combinatorial Realization of the Hopf Algebra of Sashes Shirley Law

@inproceedings{Law2014CombinatorialRO,
  title={Combinatorial Realization of the Hopf Algebra of Sashes Shirley Law},
  author={Shirley Law},
  year={2014}
}
A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these Hopf subalgebras are defined extrinsically in terms of the embedding in MR. The goal of this paper is to find an intrinsic combinatorial description of a particular one of these Hopf subalgebras. This Hopf algebra has a natural basis given by permutations that we call Pell permutations. The Pell permutations are in… CONTINUE READING