University of Sydney Algebra Seminar

Kevin Coulembier

Friday 14 August, 12-1pm, in Carslaw 275

The finitary symmetric group algebra in characteristic 2

In 1996, Baranov and Kleshchev classified maximal ideals in the finitary symmetric group algebra over fields of characteristic not 2. I will present the corresponding classification in characteristic 2, which deviates slightly from other characteristics in final statement, and much more significantly in proof. I will explain further how this results fits into a deeper, partly conjectural, connection between prime ideals in the finitary symmetric group algebra and the structure theory of symmetric tensor categories, in particular the higher Verlinde categories.