The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes

The absolute order is a natural partial order on a Coxeter group W. It can be viewed as an analogue of the weak order on W in which the role of the generating set of simple reflections in W is played by the set of all reflections in W. By use of a notion of constructibility for partially ordered sets, it is proved that the absolute order on the symmetric group is homotopy Cohen

• Type: Journal
• Year: 2008
• Where: JCT
• Authors: Christos A. Athanasiadis, Myrto Kallipoliti
• Keywords: Absolute Order, JCT 2008, Natural Partial Order, Symmetric Group