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].
Generators of the quantum finite W-algebras in type A / De Sole, A.; Fedele, L.; Valeri, D.. - In: JOURNAL OF ALGEBRA AND ITS APPLICATIONS. - ISSN 0219-4988. - 19:9(2020), p. 2050175. [10.1142/S0219498820501753]
Generators of the quantum finite W-algebras in type A
De Sole A.;Valeri D.
2020
Abstract
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].File allegati a questo prodotto
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