Quantum Affine Wreath Algebras

摘要

To each symmetric algebra we associate a family of algebras that we call extit{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.