Quantum Affine Wreath Algebras
Documenta mathematica, Tome 25 (2020), pp. 425-456
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.
Classification :
16S35, 20C08
Mots-clés : Hecke algebra, symmetric algebra, Frobenius algebra, Yokonuma-Hecke algebra
Mots-clés : Hecke algebra, symmetric algebra, Frobenius algebra, Yokonuma-Hecke algebra
@article{10_4171_dm_753,
author = {Daniele Rosso and Alistair Savage},
title = {Quantum {Affine} {Wreath} {Algebras}},
journal = {Documenta mathematica},
pages = {425--456},
year = {2020},
volume = {25},
doi = {10.4171/dm/753},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/753/}
}
Daniele Rosso; Alistair Savage. Quantum Affine Wreath Algebras. Documenta mathematica, Tome 25 (2020), pp. 425-456. doi: 10.4171/dm/753
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