Hopf algebras on decorated noncrossing arc diagrams

Published 11 Jan 2018 in math.CO | (1801.03867v2)

Abstract: Noncrossing arc diagrams are combinatorial models for the equivalence classes of the lattice congruences of the weak order on permutations. In this paper, we provide a general method to endow these objects with Hopf algebra structures. Specific instances of this method produce relevant Hopf algebras that appeared earlier in the literature.

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Vincent Pilaud

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