3 papers
math.AG2026
Differential Operators on -Invariant Functions
Ferdinand Kafando, Jean Kaboré, Ibrahim Nonkané
We generalize known results on normalized symmetric coordinates and their dual differential operators, established for the symmetric group, to the complex monomial reflection group…
math.RT2026
A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
Jean Kaboré, Ibrahim Nonkané
{We study the module structure of the polynomial ring, localized at the discriminant, over the ring of differential operators on the ring of invariants of the imprimitive complex r…
math.RT2025
Lowest-weight modules over the spherical subalgebra of a rational Cherednik algebra
Ibrahim Nonkane, Jean Kaboré
Let be a finite reflection group acting on a finite-dimensional complex vector space $\h$, let $H_c(W,\h)$ be the associated rational Cherednik algebra, and let $\Dc = eH_ce$ b…