Involution Statistics in Finite Coxeter Groups

Sarah B. Hart, Peter J. Rowley

Let $W$ be a finite Coxeter group and $X$ a subset of $W$. The length polynomial $L_{W,X}(t)$ is defined by $L_{W,X}(t)={\sum }_{x\in X}{t}^{\ell (x)}$, where $\ell$ is the length fu…