18 citations · 72 across the 12 of their papers we have counts for
3 papers · 1 filter
A categorification of biclosed sets of strings
Alexander Garver, Thomas McConville, Kaveh Mousavand
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets o…
Lattices from graph associahedra and subalgebras of the Malvenuto-Reutenauer algebra
Emily Barnard, Thomas McConville
The Malvenuto-Reutenauer algebra is a well-studied combinatorial Hopf algebra with a basis indexed by permutations. This algebra contains a wide variety of interesting sub Hopf alg…
Zonotopes whose cellular strings are all coherent
Rob Edman, Pakawut Jiradilok, Gaku Liu +1
A cellular string of a polytope is a sequence of faces stacked on top of each other in a given direction. The poset of cellular strings, ordered by refinement, is known to be homot…