## W-cellsThe identity element has links from 1 to s, but there are never any links from any element to 1. The identity element is therefore a singleton cell.
There is always a trivial link from x to xs > x.
There will be a reverse link going from xs to x if
R -
*The elements of W with a unique reduced word starting with s make up a single right cell (Lusztig).*Bédard's diagram
The W-graph will not usually be a regular structure, but there is eveidence that its restriction to a right cell is regular. |