37 citations · 313 across the 41 of their papers we have counts for
5 papers · 2 filters
Curious cyclic sieving on increasing tableaux
Christian Gaetz, Oliver Pechenik, Jessica Striker +1
We prove a cyclic sieving result for the set of packed increasing tableaux with maximum entry under K-promotion. The "curiosity" is that the sieving polynomi…
A web basis of invariant polynomials from noncrossing partitions
Rebecca Patrias, Oliver Pechenik, Jessica Striker
The irreducible representations of symmetric groups can be realized as certain graded pieces of invariant rings, equivalently as global sections of line bundles on partial flag var…
Castelnuovo-Mumford regularity of matrix Schubert varieties
Oliver Pechenik, David E Speyer, Anna Weigandt
Matrix Schubert varieties are affine varieties arising in the Schubert calculus of the complete flag variety. We give a formula for the Castelnuovo-Mumford regularity of matrix Sch…
Tableau evacuation and webs
Rebecca Patrias, Oliver Pechenik
Webs are certain planar diagrams embedded in disks. They index and describe bases of tensor products of representations of and . There are explic…
Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass
Oliver Pechenik
Let be a graded poset of rank and let be a -element chain. For an order ideal of , its rowmotion is the smallest ideal conta…