TL;DR
This paper explores an analogue of the Kac-Weisfeiler conjecture within a specific class of almost commutative algebras, proving a similar statement for rational Cherednik algebras.
Contribution
It introduces an analogue of the Kac-Weisfeiler conjecture for almost commutative algebras and proves it for rational Cherednik algebras.
Findings
Established the Kac-Weisfeiler type statement for rational Cherednik algebras
Extended the conjecture to a new class of algebras
Provided proof techniques applicable to similar algebraic structures
Abstract
In this paper we discuss an analogue of the Kac-Weisfeiler conjecture for a certain class of almost commutative algebras. In particular, we prove the Kac-Weisfeiler type statement for rational Cherednik algebras.
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