English

Quantum affine wreath algebras

Quantum Algebra 2021-02-22 v2 Rings and Algebras Representation Theory

Abstract

To each symmetric algebra we associate a family of algebras that we call quantum affine wreath algebras. These can be viewed both as symmetric algebra deformations of affine Hecke algebras of type AA and as quantum deformations of affine wreath algebras. We study the structure theory of these new algebras and their natural cyclotomic quotients.

Keywords

Cite

@article{arxiv.1902.00143,
  title  = {Quantum affine wreath algebras},
  author = {Daniele Rosso and Alistair Savage},
  journal= {arXiv preprint arXiv:1902.00143},
  year   = {2021}
}

Comments

24 pages. v2: Minor corrections, published version

R2 v1 2026-06-23T07:28:55.939Z