2 citations · 2 across the 10 of their papers we have counts for
12 papers
Resultant of an equivariant polynomial system with respect to a direct product of symmetric groups
Sonagnon Julien Owolabi, Ollé Grégroire Kam, Ibrahim Nonkane +1
In this paper we study the resultant of systems of homogeneous multivariate polynomials which are equivariant under the action of a direct product of symmetric groups. We first tre…
Specht ideals for the imprimitive complex reflection group : geometric orbit types and a dominance theorem
Ibrahim Nonkané, Joel Tossa
Moustrou, Riener, and Verdure related the dominance order on partitions to Specht ideal and variety inclusion for ; we previously extended this to direct products of symmetric…
Resultant of an equivariant polynomial system with respect to the reflection group
Sonagnon Julien Owolabi, Ibrahim Nonkané, Joel Tossa
We consider systems of homogeneous multivariate polynomials equivariant under the complex reflection group . Using divided differen…
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…
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…
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…
Invariant differential operators and the generalized symmetric group
Ibrahim Nonkané, Latévi M. Lawson
In this paper we study the decomposition of the direct image of $π_+(\Oc_{X})$ the polynomial ring $\Oc_X$ as a $\D$-module, under the map $π: \spec \Oc_{X} \to \spec \Oc_{X}^{G(r,…
Higher Specht polynomials and modules over the Weyl algebra
Ibrahim Nonkane, Leonard Todjihounde
In this paper, we study an irreducible decomposition structure of the $\Dc$-module direct image $π_+(\Oc_{ \bC^n})$ for the finite map $π: \bC^n \to \bC^n/ ({\Sc_{n_1}\times \cdots…
Differential operators and reflection group of type
Ibrahim Nonkané, Latévi M. Lawson
In this note, we study the polynomial representation of the quantum Olshanetsky-Perelomov system for a finite reflection group of type . We endow the polynomial ring ${\ma…
Discriminants of complete intersection space curves
Laurent Busé, Ibrahim Nonkané
In this paper, we develop a new approach to the discrimi-nant of a complete intersection curve in the 3-dimensional projective space. By relying on the resultant theory, we first p…