Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11033129 | Journal of Combinatorial Theory, Series A | 2019 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Vincent Pilaud,