Repeatable patterns and the maximum multiplicity of a generator in a reduced word

Christian Gaetz, Yibo Gao, Pakawut Jiradilok +2

We study the maximum multiplicity $\mathcal{M}(k,n)$ of a simple transposition $s_k=(kk+1)$ in a reduced word for the longest permutation $w_0=nn-1\cdots 21$, a…