4 citations · 8 across the 15 of their papers we have counts for
13 papers · 1 filter
Generalised hook lengths and Schur elements for Hecke algebras
Maria Chlouveraki, Jean-Baptiste Gramain, Nicolas Jacon
We compare two generalisations of the notion of hook lengths for partitions. We apply this in the context of the modular representation theory of Ariki-Koike algebras. We show that…
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…
Perfect isometries and Murnaghan-Nakayama rules
Olivier Brunat, Jean-Baptiste Gramain
This article is concerned with perfect isometries between blocks of finite groups. Generalizing a method of Enguehard to show that any two p-blocks of (possibly different) symmetri…
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…
The Isaacs-Navarro Conjecture for covering groups of the symmetric and alternating groups in odd characteristic
Jean-Baptiste Gramain
In this paper, we prove that a refinement of the Alperin-McKay Conjecture for -blocks of finite groups, formulated by I. M. Isaacs and G. Navarro in 2002, holds for all covering…
A 2-basic set of the alternating group
Olivier Brunat, Jean-Baptiste Gramain
In this note, we construct a 2-basic set of the alternating group \A_n. To do this, we construct a 2-basic set of the symmetric group \sym_n with an additional property, such that…
Defect of characters of the symmetric group
Jean-Baptiste Gramain
Following the work of B. Kuelshammer, J. B. Olsson and G. R. Robinson on generalized blocks of the symmetric groups, we give a definition for the \ell-defect of characters of the s…
A basic set for the alternating group
Olivier Brunat, Jean-Baptiste Gramain
This article concerns the -basic set existence problem in the representation theory of finite groups. We show that, for any odd prime , the alternating group $\A_n$ has a …
On defect groups for generalized blocks of the symmetric group
Jean-Baptiste Gramain
In a paper of 2003, B. Külshammer, J. B. Olsson and G. R. Robinson defined -blocks for the symmetric groups, where is an arbitrary integer. In this paper, we give a…
Generalized blocks of unipotent characters in the finite general linear group
Jean-Baptiste Gramain
In a paper of 2003, B. Külshammer, J. B. Olsson and G. R. Robinson defined -blocks for the symmetric groups, where is an arbitrary integer, and proved that they sat…