Quantum Affine Wreath Algebras
Daniele RossoDepartment of Mathematics and Actuarial Science, Indiana University Northwest, Gary, IN 46408, USA
Alistair SavageDepartment of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada
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 and as quantum deformations of affine wreath algebras. We study the structure theory of these new algebras and their natural cyclotomic quotients.
Cite this article
Daniele Rosso, Alistair Savage, Quantum Affine Wreath Algebras. Doc. Math. 25 (2020), pp. 425–456DOI 10.4171/DM/753