Generators of the quantum finite W-algebras in type A
Representation Theory
2018-06-11 v1 Mathematical Physics
math.MP
Quantum Algebra
Rings and Algebras
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].
Keywords
Cite
@article{arxiv.1806.03233,
title = {Generators of the quantum finite W-algebras in type A},
author = {Alberto De Sole and Laura Fedele and Daniele Valeri},
journal= {arXiv preprint arXiv:1806.03233},
year = {2018}
}
Comments
60 pages