The center of the wreath product of symmetric group algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• Main Author: Tout, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188713
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The center of the wreath product of symmetric group algebras / O. Tout // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 302–322. — Бібліогр.: 12 назв. — англ.

We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric group algebras. This allows us to recover an old result of Far...