5 papers
On unitriangular basic sets for symmetric and alternating groups
Olivier Brunat, Jean-Baptiste Gramain, Nicolas Jacon
We study the modular representation theory of the symmetric and alternating groups. One of the most natural ways to label the irreducible representations of a given group or algebr…
Restriction of characters to subgroups of wreath products and basic sets for the symmetric group
Jean-Baptiste Gramain, Adriana Marciuk
In this paper, we give the decomposition into irreducible characters of the restriction to the wreath product of any irreducible character of…
Perfect Isometries Between Blocks of Complex Reflection Groups
Olivier Brunat, Jean-Baptiste Gramain
In this paper, we prove that, given any integers , , and , and a prime not dividing , any two blocks of the complex reflection groups and $G(de,e,…
Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic
Olivier Brunat, Jean-Baptiste Gramain
In this paper, following the methods of http://arxiv.org/abs/1305.7449v2, we show that the double covering groups of the symmetric and alternating groups have p-basic sets for any…
On a conjecture of G. Malle and G. Navarro on nilpotent blocks
Jean-Baptiste Gramain
In a recent article, G. Malle and G. Navarro conjectured that the -blocks of a finite group all of whose height 0 characters have the same degree are exactly the nilpotent block…