An explicit presentation of the center of the restricted rational Cherednik algebra

In this paper, we give an explicit presentation of the center of the restricted rational Cherednik algebra [Formula: see text] for a particular choice of parameter [Formula: see text]. More precisely, we describe the center of the indecomposable blocks of [Formula: see text] in terms of generators and relations. The parameters [Formula: see text] for which this presentation is valid are such that the Calogero–Moser space is smooth. Furthermore, we demonstrate how the explicit presentation of the center of [Formula: see text] can be directly derived from the set of [Formula: see text]-multipartitions of [Formula: see text].