Quantum affine wreath algebras

Published 1 Feb 2019 in math.QA, math.RA, and math.RT | (1902.00143v2)

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 $A$ 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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