2 citations · 2 across the 4 of their papers we have counts for
4 papers
A universal characterization of the shifted plactic monoid
Santiago Estupiñán-Salamanca, Oliver Pechenik
The plactic monoid of Lascoux and Schützenberger (1981) plays an important role in proofs of the Littlewood-Richardson rule for computing multiplicities in the linear…
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…
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…
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…