Abstract | ||
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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. |
Year | DOI | Venue |
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2019 | 10.1016/j.jcta.2018.09.005 | Journal of Combinatorial Theory, Series A |
Keywords | Field | DocType |
Hopf algebras,Lattice congruences,Weak order,Non-crossing arc diagrams | Combinatorics,Arc (geometry),Lattice (order),Permutation,Equivalence class,Congruence relation,Hopf algebra,Mathematics | Journal |
Volume | ISSN | Citations |
161 | 0097-3165 | 0 |
PageRank | References | Authors |
0.34 | 9 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vincent Pilaud | 1 | 57 | 10.15 |