Corpus ID: 119642406

Quantum affine wreath algebras

@article{Rosso2019QuantumAW,
  title={Quantum affine wreath algebras},
  author={Daniele Rosso and Alistair Savage},
  journal={arXiv: Quantum Algebra},
  year={2019}
}
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 $A$ and as quantum deformations of affine wreath algebras. We study the structure theory of these new algebras and their natural cyclotomic quotients. 
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