The center of the wreath product of symmetric group algebras

• Date: 2021
• Main Author: Tout, O.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: symmetric groups; wreath products; structure coefficients; centers of finite groups algebras; 05E10; 05E16; 20C30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1338
• Journal Title: Algebra and Discrete Mathematics

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...