37 citations · 313 across the 41 of their papers we have counts for
5 papers · 1 filter
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…
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…
James reduced product schemes and double quasisymmetric functions
Oliver Pechenik, Matthew Satriano
Symmetric function theory is a key ingredient in the Schubert calculus of Grassmannians. Quasisymmetric functions are analogues that are similarly central to algebraic combinatoric…
The Kromatic Symmetric Function: A -theoretic Analogue of
Logan Crew, Oliver Pechenik, Sophie Spirkl
Schur functions are a basis of the symmetric function ring that represent Schubert cohomology classes for Grassmannians. Replacing the cohomology ring with -theory yields a rich…