20 citations · 53 across the 15 of their papers we have counts for
24 papers
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…
Generalised core partitions and Diophantine equations
Olivier Brunat, Nathan Chapelier-Laget, Thomas Gerber
We study generalised core partitions arising from affine Grassmannian elements in arbitrary Dynkin type. The corresponding notion of size is given by the atomic length in the sense…
A crank-based approach to the theory of 3-core partitions
Olivier Brunat, Rishi Nath
This note is concerned with the set of integral solutions of the equation , where is a positive integer. We will describe a parametrization of this set using th…
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…
Cores and quotients of partitions through the Frobenius symbol
Olivier Brunat, Rishi Nath
The Frobenius symbol was first introduced in 1900 by Frobenius as a way to encode an integer partition. In 1941, motivated by the modular representation theory of the symmetric gro…