3 papers
math.CO2025
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…
math.RT2025
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…
math.HO2024
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…