Generators of the quantum finite W-algebras in type A (1806.03233v1)

Published 8 Jun 2018 in math.RT, math-ph, math.MP, math.QA, and math.RA

Abstract: We prove a conjecture proposed in [DSKV16] describing the Lax type operator L(z) for the quantum finite W-algebras of gl_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 g[1/2].