4 papers
On some properties of symplectic Grothendieck polynomials
Eric Marberg, Brendan Pawlowski
Grothendieck polynomials, introduced by Lascoux and Schützenberger, are certain -theory representatives for Schubert varieties. Symplectic Grothendieck polynomials, described mo…
K-theory formulas for orthogonal and symplectic orbit closures
Eric Marberg, Brendan Pawlowski
The complex orthogonal and symplectic groups both act on the complete flag variety with finitely many orbits. We study two families of polynomials introduced by Wyser and Yong repr…
Bialgebras for Stanley symmetric functions
Eric Marberg
We construct a non-commutative, non-cocommutative, graded bialgebra with a basis indexed by the permutations in all finite symmetric groups. Unlike the formally similar…
Stanley symmetric functions for signed involutions
Eric Marberg, Brendan Pawlowski
An involution in a Coxeter group has an associated set of involution words, a variation on reduced words. These words are saturated chains in a partial order first considered by Ri…