Peter Rowley

most citedInvolution Products in Coxeter Groups

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2014★ 1 cited

Involution Products in Coxeter Groups

Sarah B. Hart, Peter J. Rowley

For $W$ a Coxeter group, let $\mathcal{W} = \{ w \in W \;| \; w = xy \; \mbox{where} \; x, y \in W \; \mbox{and} \; x^2 = 1 = y^2 \}$. If $W$ is finite, then it is well known that…

math.GR2014

On Excess in Finite Coxeter Groups

Sarah B. Hart, Peter J. Rowley

For a finite Coxeter group $W$ and $w$ an element of $W$ the `excess' of $w$ is defined to be $e (w) = min {ℓ (x) + ℓ (y) - ℓ (w) ∣ w = x y, x^{2} = y^{2} = 1}$ where $\el…

math.GR2014

Zero Excess and Minimal Length in Finite Coxeter Groups

Sarah B. Hart, Peter J. Rowley

Let $W$ be the set of strongly real elements of $W$ , a Coxeter group. Then for $w \in W$ , $e (w)$ , the excess of $w$ , is defined by $e(w) = \min\{\ell(x) + \ell(…

math.CO2014

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 $L_{W, X} (t) = \sum_{x \in X} t^{ℓ (x)}$ , where $ℓ$ is the length fu…