Peaks Sets of Classical Coxeter Groups

Alexander Diaz-Lopez, Pamela E. Harris, Erik Insko +1

We say a permutation $\pi ={\pi }_1{\pi }_2\cdots {\pi }_n$ in the symmetric group ${\mathfrak{S}}_n$ has a peak at index $i$ if ${\pi }_{i-1}<{\pi }_i>{\pi }_{i+1}$ and we let $P(π)=\{i \in \{1, 2, \ldots, n\} \, \v…