$W$-algebras associated with centralizers in type $A$
Representation Theory
2022-04-13 v2 Mathematical Physics
math.MP
Abstract
We introduce a new family of affine -algebras associated with the centralizers of arbitrary nilpotent elements in . We define them by using a version of the BRST complex of the quantum Drinfeld--Sokolov reduction. A family of free generators of the new algebras is produced in an explicit form. We also give an analogue of the Fateev--Lukyanov realization for these algebras by applying a Miura-type map.
Cite
@article{arxiv.2002.02218,
title = {$W$-algebras associated with centralizers in type $A$},
author = {A. I. Molev},
journal= {arXiv preprint arXiv:2002.02218},
year = {2022}
}
Comments
16 pages, minor changes