Abstract
We prove a conjecture proposed in [A. De Sole, V. G. Kac and D. Valeri, Finite [Formula: see text]-algebras for [Formula: see text], Adv. Math. 327 (2018) 173–224.] describing the Lax type operator [Formula: see text] for the quantum finite [Formula: see text]-algebras of [Formula: see text] in terms of a PBW generating system for the [Formula: see text]-algebra. In doing so, we extend this result to an arbitrary good grading and an arbitrary isotropic subspace of [Formula: see text].
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