Prefer a chat interface with context about you and your work?
Rationality and reciprocity for the greedy normal form of a Coxeter group
We show that the characteristic series for the greedy normal form of a Coxeter group is always a rational series and prove a reciprocity formula for this series when the group is right-angled and the nerve is Eulerian. As corollaries we obtain many of the known rationality and reciprocity results …