11 papers
Intersections of blocks of cyclotomic Hecke algebras
Maria Chlouveraki, Gunter Malle
Trinh and Xue have proposed a startling conjecture on intersections of blocks of cyclotomic Hecke algebras occurring in modular representation theory of finite reductive groups. We…
Subnormalisers of semisimple elements in finite groups of Lie type
Gunter Malle
We determine subnormalisers of semisimple elements of prime power order in finite quasi-simple groups of Lie type. For this, we determine the maximal overgroups of normalisers of S…
The Picky Conjecture for groups of Lie type
Gunter Malle, A. A. Schaeffer Fry
Recently, Moretó and Rizo proposed a conjecture, known as the Picky Conjecture, proposing new character correspondences extending the McKay Conjecture. We prove the Picky Conjectu…
Picky elements, subnormalisers, and character correspondences
Gunter Malle
We gather evidence on a new local-global conjecture of Moretó and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in…
Generic weights for finite reductive groups
Zhicheng Feng, Gunter Malle, Jiping Zhang
This paper is motivated by the study of Alperin's weight conjecture in the representation theory of finite groups. We generalize the notion of -cuspidality in the -Harish-Cha…
Jordan correspondence and block distribution of characters
Radha Kessar, Gunter Malle
We complete the determination of the -block distribution of characters for quasi-simple exceptional groups of Lie type up to some minor ambiguities relating to non-uniqueness…