1 citations · 1 across the 3 of their papers we have counts for
6 papers
The Alperin-McKay conjecture for the prime 2
Lucas Ruhstorfer
In this paper we consider the inductive Alperin-McKay condition for quasi-isolated 2-blocks of exceptional groups of Lie type. Thereby, we complete the proof of the Alperin-McKay c…
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…
Quasi-isolated blocks and the Alperin-McKay conjecture
Lucas Ruhstorfer
The Alperin-McKay conjecture is a longstanding open conjecture in the representation theory of finite groups. Späth showed that the Alperin-McKay conjecture holds if the so-called…
Derived equivalences and equivariant Jordan decomposition
Lucas Ruhstorfer
The Bonnafé-Rouquier equivalence can be seen as a modular analogue of Lusztig's Jordan decomposition for groups of Lie type. In this paper, we show that this equivalence can be lif…
Fake Galois Actions
Niamh Farrell, Lucas Ruhstorfer
We prove that for all non-abelian finite simple groups , there exists a fake mth Galois action on IBr with respect to Aut, where is the univers…
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…