1 citations · 1 across the 3 of their papers we have counts for
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Mixed jeu de taquin and a problem of Soojin Cho
Santiago Estupiñán-Salamanca, Oliver Pechenik
Serrano (2010) introduced the shifted plactic monoid, governing Haiman's (1989) mixed insertion algorithm, as a type B analogue of the classical plactic monoid that connects jeu de…
Promotion digraphs
Rebecca Patrias, Oliver Pechenik, Jessica Striker
Work of Gaetz, Pechenik, Pfannerer, Striker, and Swanson (2024) introduced promotion permutations for a rectangular standard Young tableau . These promotion permutations encode…
Degrees of P-Grothendieck polynomials and regularity of Pfaffian varieties
Oliver Pechenik, Matthew St. Denis
We prove a formula for the degrees of Ikeda and Naruse's -Grothendieck polynomials using combinatorics of shifted tableaux. We show this formula can be used in conjunction with…
Web bases in degree two from hourglass plabic graphs
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
Webs give a diagrammatic calculus for spaces of -tensor invariants, but intrinsic characterizations of web bases are only known in certain cases. Recently, we…
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…
Proof of a conjectured Möbius inversion formula for Grothendieck polynomials
Oliver Pechenik, Matthew Satriano
Schubert polynomials are polynomial representatives for cohomology classes of Schubert varieties in a complete flag variety, while Grothendieck polynomials $\mathf…