3 problems

Let $I^{(k,r)}_m$ be the ideals in the polynomial representation $V$ of the double affine Hecke algebra representation $\mathcal{H}n^{(k,r)}$, with…

Suppose $c_0=j/k$ with $k$ and $j$ relatively prime positive integers, and $2\leq k\leq n$. Let $\mathbf{C}[\mathfrak{h}]$ be the polynomial representation, and let…

Let $Z_{p,m}$ and $Z_{p,m}'$ be the submodules defined above, and let $E_1$ be the first member of the corresponding filtration of submodules. EZ submodule conjecture. With the not…