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
Decomposition of the polynomials over the spherical subalgebra
Ibrahim Nonkane, Jean Kaboré, Jean Kaboré
Given a finite subgroup $W \subset \GL(\fh)$ of the linear group of a finite-dimensional complex vector field $\fh$, it is a well-studied problem to describe the structure of the s…