Title
Hopf algebras on decorated noncrossing arc diagrams.
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.
Year
DOI
Venue
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 Pilaud15710.15