Braid moves in commutation classes of the symmetric group

Anne Schilling, Nicolas M. Thiéry, Graham White +1

We prove that the expected number of braid moves in the commutation class of the reduced word $(s_1{s}_2\cdots s_{n-1})(s_1{s}_2\cdots s_{n-2})\cdots (s_1{s}_2)(s_1)$ for the long…