5 papers
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…
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…
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…
Resultant of an equivariant polynomial system with respect to direct product of symmetric groups
Sonagnon Julien Owolabi, Ibrahim Nonkane, Joel Tossa
In this note, we consider the resultant of systems of homogeneous multivariate polynomials which are equivariant under the action of direct product of two symmetric groups. We esta…
Effective Bounds on Topological Types of Real Algebraic and Semialgebraic Sets
Kartoue Mady Demdah, Ibrahim Nonkane
In this paper, we revisit the problem of classifying real algebraic and semialgebraic sets by their topological types, focusing on establishing the effectiveness of bounds rather t…