4 problems

Let $I_\infty$ be the involutions of the infinite symmetric group, let $\mathrm{Des}_V(z)$ be the visible descent set, and let $\mathfrak G^{\mathsf{O}}_z$ be the orthogonal involu…

Let $I^{\mathsf{fpf}}_\infty$ denote the fixed-point-free involutions, let $\mathfrak G^{\mathsf{Sp}}_z$ be the corresponding symplectic involution Grothendieck polynomial, and let…

Let $I_\infty$ denote the involutions of the infinite symmetric group, let $\mathfrak S^{\mathsf{O}}_z$ be the corresponding orthogonal involution Schubert polynomial, and let…

Involution Schubert expansion conjecture. Each involution Schubert polynomial $\mathfrak S^{\mathsf{Sp}}_z$ (respectively, $\mathfrak S^{\mathsf{O}}_z$) is an $\mathbb{N}$-linear c…