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math.AG2021
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,…
math.AG2021
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…
math.RT2021★ 2 cited
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…