20 citations · 53 across the 15 of their papers we have counts for
19 papers · 1 filter
On -rationality in double covers of symmetric and alternating groups
Olivier Brunat, Rishi Nath
We construct, for every odd prime , a bijection between the -spin characters and those of a Sylow normalizer which, in particular, is equivariant under the…
Galois Automorphisms And Littlewood Decompositions
Olivier Brunat, Rishi Nath
The study of modular representation theory of the double covering groups of the symmetric and alternating groups reveals rich and subtle combinatorial and algebraic phenomena invol…
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…
Unitriangular Shape of Decomposition Matrices of Unipotent Blocks
Olivier Brunat, Olivier Dudas, Jay Taylor
We show that the decomposition matrix of unipotent -blocks of a finite reductive group has a unitriangular shape, assuming is a power of a good…
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,…
The Navarro Conjecture for the alternating groups
Olivier Brunat, Rishi Nath
Recently Navarro proposed a strengthening of the unsolved McKay conjecture using Galois automorphisms. We prove that the Navarro conjecture holds for the alternating groups when th…