4 citations · 8 across the 9 of their papers we have counts for
12 papers
On semisimple classes and component groups in type
Marc Cabanes, Britta Späth
In adjoint reductive groups of type we show that for every semisimple element , its centralizer splits over its connected component, i.e., $C_H(s) = C_H(s)^\cir…
On the Inductive Alperin-McKay Conditions in the Maximally Split Case
Marc Cabanes, A. A. Schaeffer Fry, Britta Späth
The Alperin-McKay conjecture relates height zero characters of an -block with the ones of its Brauer correspondent. This conjecture has been reduced to the so-called inductiv…
Descent equalities and the inductive McKay condition for types B and E
Marc Cabanes, Britta Späth
We establish the inductive McKay condition introduced by Isaacs-Malle-Navarro \cite{IMN} for finite simple groups of Lie types $\tB_l$ (), $\tE_6$, $^2\tE_6$ and $\tE_7$,…
Local methods for blocks of finite simple groups
Marc Cabanes
This survey is about old and new results about the modular representation theory of finite reductive groups with a strong emphasis on local methods. This includes subpairs, Brauer'…
Inductive McKay condition for finite simple groups of type C
Marc Cabanes, Britta Späth
We verify the inductive McKay condition for simple groups of Lie type C, namely finite projective symplectic groups. This contributes to the program of a complete proof of the McKa…
On the inductive Alperin-McKay condition for simple groups of type A
Marc Cabanes, Britta Spaeth
As a sequel to [CS13b], we verify the so-called inductive AM-condition introduced in [Sp12] for simple groups of type A and blocks with maximal defect. This is part of the program…
Equivariant character correspondences and inductive McKay condition for type A
Marc Cabanes, Britta Spaeth
As a step to establish the McKay conjecture on character degrees of finite groups, we verify the inductive McKay condition introduced by Isaacs-Malle-Navarro for simple groups of L…
Two remarks on the reduction of Alperin's weight conjecture
Marc Cabanes
The so-called inductive McKay condition on finite simple groups, due to Isaacs-Malle-Navarro (2007), has been recently reformulated by Späth. We show that this reformulation applie…
On Jordan Decomposition of Characters for SU(n,q)
Marc Cabanes
As shown by Bonnafé, a step in proving a Jordan decomposition of characters of finite special linear groups is the parametrization of unipotent characters of centralizers of semi-s…
Odd Character Degrees for Sp(2n,2)
Marc Cabanes
We check McKay conjecture on character degrees for the case of symplectic groups over the field with two elements Sp(2n,2) and the prime 2. Then we check the inductive McKay condit…
On Ternary Quotients of Cubic Hecke Algebras
Marc Cabanes, Ivan Marin
We prove that the quotients of the group algebra of the braid group introduced by L. Funar in Comm. Math. Phys., 1995, collapses in characteristic distinct from 2. In characteristi…
On Okuyama's theorems about Alvis-Curtis duality
Marc Cabanes
The purpose of this paper is to report on the unpublished manuscript [O] by T. Okuyama where are proved some conjectures generalizing to homotopy categories the theorems of [CaRi]…