3 problems

Let $w\in\widetilde{S}^D_n$ be an affine signed permutation, and let \(w)$and$operatorname{dis}(w)…

Let $w$ be an affine signed permutation in $\widetilde{S}^B_n$. An integer $j\in[n-1]$ is good if $w$ restricts to a bijection from $\pm[j]$ to itself, and it is very good if this…

Let $n$ be a positive integer, let $\tilde I_n$ denote the set of affine involutions, let $z\in\tilde I_n$, let $\hat{F}_z$ be the affine involution Stanley symmetric function, let…