20 citations · 31 across the 11 of their papers we have counts for
17 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…
On simultaneous -core partitions
William Keith, Rishi Nath, James Sellers
We consider simultaneous -core partitions in the large- limit, or (when ), partitions in which no hook may be of length . We study gene…
A combinatorial introduction to Adinkras
Robert W. Donley, S. James Gates, Tristan Hübsch +1
We survey the combinatorics of the Adinkra, a graphical device for solving differential equations in supersymmetry. These graphs represent an exceptional class of 1-factorizations…
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…
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…