5 papers
Determinantal formulas with major indices
Thomas McConville, Donald Robertson, Clifford Smyth
We give a simple proof of a major index determinant formula in the symmetric group discovered by Krattenthaler and first proved by Thibon using noncommutative symmetric functions.…
On a rank-unimodality conjecture of Morier-Genoud and Ovsienko
Thomas McConville, Bruce E. Sagan, Clifford Smyth
Let alpha = (a,b,...) be a composition. Consider the associated poset F(alpha), called a fence, whose covering relations are x_1 < x_2 < ... < x_{a+1} > x_{a+2} > ... > x_{a+b+1} <…
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…