arXiv subjects

Hélène Pérennou

Publications and source records attributed to Hélène Pérennou.

2 recordsLinked to original sources

arXiv2019

Polynomiality of Grothendieck groups for finite general linear groups, Deligne-Lusztig characters, and injective unstable modules

Let K 0 (Fp GLn(Fp)-proj) denote the Grothendieck group of finitely generated pro-jective Fp GLn(Fp)-modules. We show that the algebra C $\otimes$ n$\ge$0 K 0 (Fp GLn(Fp)-proj) with multiplication given by induction functors, is a polynomial algebra. We explicit generators and their relation with Deligne-Lusztig characters.

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arXiv2017

Polynomialit{é} d'anneaux de repr{é}sentations modulaires projectives

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.

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