English

Explicit generators in rectangular affine W-algebras of type A

Representation Theory 2017-02-06 v3 Mathematical Physics math.MP

Abstract

We produce in an explicit form free generators of the affine W-algebra of type A associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the principal nilpotent case and we thus recover the quantum Miura transformation of Fateev and Lukyanov.

Keywords

Cite

@article{arxiv.1403.1017,
  title  = {Explicit generators in rectangular affine W-algebras of type A},
  author = {Tomoyuki Arakawa and Alexander Molev},
  journal= {arXiv preprint arXiv:1403.1017},
  year   = {2017}
}

Comments

13 pages, with some changes and corrections

R2 v1 2026-06-22T03:20:24.191Z