Bender-Knuth involutions on linear extensions of posets

Judy Hsin-Hui Chiang, Anh Trong Nam Hoang, Matthew Kendall +4

We study the permutation group ${\mathcal{B}\mathcal{K}}_P$ generated by Bender-Knuth moves on linear extensions of a poset $P$, an analog of the Berenstein-Kirillov group on column-strict tab…