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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…
math.AC2025
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…