105 citations · 532 across the 58 of their papers we have counts for
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Affine transitions for involution Stanley symmetric functions
Eric Marberg, Yifeng Zhang
We study a family of symmetric functions indexed by involutions in the affine symmetric group. These power series are analogues of Lam's affine Stanley symmetric fun…
Linear compactness and combinatorial bialgebras
Eric Marberg
We present an expository overview of the monoidal structures in the category of linearly compact vector spaces. Bimonoids in this category are the natural duals of infinite-dimensi…
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…
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…