Generators of the quantum finite W-algebras in type A
01 Pubblicazione su rivista
De Sole A., Fedele L., Valeri D.
ISSN: 0219-4988
We prove a conjecture proposed in [A. De Sole, V. G. Kac and D. Valeri, Finite W-algebras for N, Adv. Math. 327 (2018) 173-224.] describing the Lax type operator L(z) for the quantum finite W-algebras of N in terms of a PBW generating system for the W-algebra. In doing so, we extend this result to an arbitrary good grading and an arbitrary isotropic subspace of [1 2].