34 citations · 195 across the 20 of their papers we have counts for
4 papers · 1 filter
Pattern avoidance and quasisymmetric functions
Zachary Hamaker, Brendan Pawlowski, Bruce Sagan
Given a set of permutations Pi, let S_n(Pi) denote the set of permutations in the symmetric group S_n that avoid every element of Pi in the sense of pattern avoidance. Given a subs…
Reduced words for clans
Brian Burks, Brendan Pawlowski
Clans are combinatorial objects indexing the orbits of on the variety of flags in . This geometry leads to a partial or…
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…
Chromatic symmetric functions via the group algebra of
Brendan Pawlowski
We prove some Schur positivity results for the chromatic symmetric function of a (hyper)graph , using connections to the group algebra of the symmetric group. The first su…