Decoupling–block generation conjecture for restricted rational Cherednik algebras

Let \mathbfsfH\overline{\mathbfsf{H}} be the restricted rational Cherednik algebra, with DecGen(\mathbfsfH)\operatorname{DecGen}(\overline{\mathbfsf{H}}) and BlGen(\mathbfsfH)\operatorname{BlGen}(\overline{\mathbfsf{H}}) denoting the decoupling-generation and block-generation loci, respectively. Decoupling–block generation conjecture. We have

DecGen(\mathbfsfH)=BlGen(\mathbfsfH).\operatorname{DecGen}(\overline{\mathbfsf{H}})=\operatorname{BlGen}(\overline{\mathbfsf{H}}).

This is stated in the paper's section on conjectures and further problems, and no resolution is supplied in the given material.

Sources & referencesView supporting material

Primary source

Ulrich Thiel, “Restricted rational Cherednik algebras”, arXiv:1603.05230 (2016).

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