3 citations · 12 across the 17 of their papers we have counts for
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Totally symmetric self-complementary plane partition matrices and related polytopes
Vincent Holmlund, Jessica Striker
Plane partitions in the totally symmetric self-complementary symmetry class (TSSCPP) are known to be equinumerous with n x n alternating sign matrices, but no explicit bijection is…
Web invariants for flamingo Specht modules
Chris Fraser, Rebecca Patrias, Oliver Pechenik +1
Webs yield an especially important realization of certain Specht modules, irreducible representations of symmetric groups, as they provide a pictorial basis with a convenient diagr…
Toggling, rowmotion, and homomesy on interval-closed sets
Jennifer Elder, Nadia Lafrenière, Erin McNicholas +2
Interval-closed sets of a poset are a natural superset of order ideals. We initiate the study of interval-closed sets of finite posets from enumerative and dynamical perspectives.…
Promotion permutations for tableaux
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
In our companion paper, we develop a new -web basis. Basis elements are given by certain planar graphs and are constructed so that important algebraic operations can be perfo…
Rotation-invariant web bases from hourglass plabic graphs
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
Webs give a diagrammatic calculus for spaces of tensor invariants. We introduce hourglass plabic graphs as a new avatar of webs, and use these to give the first rotation-invariant…
A pipe dream perspective on totally symmetric self-complementary plane partitions
Daoji Huang, Jessica Striker
We characterize totally symmetric self-complementary plane partitions (TSSCPP) as bounded compatible sequences satisfying a Yamanouchi-like condition. As such, they are in bijectio…