3 problems

Let $W$ be a real reflection group with reflection representation $V$. A positive integer $r$ is $W$-good if, for every parameter $c$ with $|c|=r$, the Cherednik algebra $H_c(W)$ a…

Finite-dimensional representation conjecture. The algebra ${\mathsf{H}}_c$ has a nonzero finite-dimensional representation $V$ if and only if $r$ is coprime to $n$; moreover, in th…

Let ${\mathscr{B}_{\bm s,\bm \varepsilon}}$ be the twisted super Yangian of type AIII, let $V(\bm\mu(u))$ be an irreducible ${\mathscr{B}_{\bm s,\bm \varepsilon}}$-module, and let…