3 problems

Schubert-intersection characterization. Then $V=wV^+_E$ for some eigenspace $E$ of $\mathcal{B}_n(z_1,\dots,z_n)$ if and only if

Let $\mathcal{H}$ be a cyclic representation of the Yangian $\mathcal{Y}(\mathfrak{so}_{2r})$, with highest-weight vector a cyclic vector. Let…

Bethe algebra–Schubert intersection isomorphism conjecture. There exists a natural isomorphism of vector spaces