3 problems

A Cherednik parameter $c$ is called totally aspherical if, for every parabolic subgroup $W'\subseteq W$, the spherical Cherednik algebra $e_{W'}H_c(W')e_{W'}$ has no nonzero finite…

Let $\mathcal{O}$ be the category associated with the cyclotomic rational double affine Hecke algebra, and let $\mathbf{A}$ be the subcategory of an affine parabolic category…

Let $W=G(\ell,1,n)$ be the wreath product of $S_n$ and $\mathbb{Z}/\ell\mathbb{Z}$, and let $\mathcal{O}$ be the highest weight category of representations of the corresponding cyc…