The excedance quotient of the Bruhat order, Quasisymmetric Varieties and Temperley-Lieb algebras

Nantel Bergeron, Lucas Gagnon

Let $R_n=\mathbb{Q}[x_1,x_2,\dots ,x_n]$ be the ring of polynomial in $n$ variables and consider the ideal $⟨{\mathrm{QSym}}_n^{+}⟩\subseteq R_n$ generated by quasisym…