Total nonnegativity and induced sign characters of the Hecke algebra

Adam Clearwater, Mark Skandera

Let ${\mathfrak{S}}_{[i,j]}$ be the subgroup of the symmetric group ${\mathfrak{S}}_n$ generated by adjacent transpositions $(i,i+1),\dots ,(j-1,j)$, assuming $1\le i<j\le n$. We…