Polynomialité d'anneaux de représentations modulaires projectives

Hélène Pérennou (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

Consider the Grothendieck group of finite type projective modular representations of the symmetric groups on n letters, or more generally, of its wreath product with a finite group. They form a graded group, with a product defined using induction. We show that the resulting graded ring is a polynomial ring.

Domaines: Théorie des représentations [math.RT]

Hélène Pérennou. Polynomialité d'anneaux de représentations modulaires projectives. 2017. ⟨hal-01615039⟩