Metrics on Signed Permutations with the Same Peak Set

Kayla Andrus, Nathaniel Larsen, Alyssa MacLennan +3

Let $S_n^B$ be the Coxeter group of type B. We denote the set of indices where $\ddot{I}ƒ\in S_n^B$ has a peak as $Peak(\ddot{I}ƒ)$ and let $P^B(S;n)=\{\ddot{I}ƒ\in S_n^B|Peak(\ddot{I}ƒ)=S\}$. In \cite…