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Equivariant chararacter bijections and the Alperin-McKay conjecture
Julian Brough, Lucas Ruhstorfer
In this paper we consider the inductive Alperin--McKay condition for isolated blocks of groups of Lie type and . This finishes the verification of the inductive condition fo…
On the Alperin-McKay conjecture for 2-blocks of maximal defect
Julian Brough, Lucas Ruhstorfer
In this paper, we show that the Alperin-McKay conjecture holds for 2-blocks of maximal defect. A major step in the proof is the verification of the inductive Alperin-McKay conditio…
The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type
L. Ruhstorfer, A. A. Schaeffer Fry
For a prime , the McKay conjecture suggests a bijection between the set of irreducible characters of a finite group with -degree and the corresponding set for the norm…
On the Bonnafé--Dat--Rouquier Morita equivalence
Lucas Ruhstorfer
We prove that the cohomology group of a Deligne-Lusztig variety defines a Morita equivalence in a case which is not covered by the argument by Bonnafé, Dat and Rouquier, specifical…