3 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
Key and Lascoux polynomials for symmetric orbit closures
Eric Marberg, Travis Scrimshaw
We introduce shifted analogues of key polynomials related to symplectic and orthogonal orbit closures in the complete flag variety. Our definitions are given by applying isobaric d…
Positive specializations of K-theoretic Schur P- and Q-functions
Eric Marberg
Yeliussizov has classified the positive specializations of symmetric Grothendieck functions, defined in several different ways, providing a K-theoretic lift of the classical Edrei-…
Atoms for signed permutations
Zachary Hamaker, Eric Marberg
There is a natural analogue of weak Bruhat order on the involutions in any Coxeter group. The saturated chains of intervals in this order correspond to reduced words for a certain…
Crystals for shifted key polynomials
Eric Marberg, Travis Scrimshaw
This article continues our study of - and -key polynomials, which are (non-symmetric) "partial" Schur - and -functions as well as "shifted" versions of key polynomials.…
On some Grothendieck expansions
Eric Marberg, Jiayi Wen
The orthogonal and symplectic groups act on the complete flag variety with finitely many orbits. The orthogonal Grothendieck polynomials and symplecti…
Kromatic quasisymmetric functions
Eric Marberg
We provide a construction for the kromatic symmetric function of a graph introduced by Crew, Pechenik, and Spirkl using combinatorial (linearly compact) Hopf algeb…