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math.RT2018
Macdonald trees and determinants of representations for finite Coxeter groups
Arvind Ayyer, Amritanshu Prasad, Steven Spallone
Every irreducible odd dimensional representation of the 'th symmetric or hyperoctahedral group, when restricted to the 'th, has a unique irreducible odd-dimensional const…
math.RT2018
Random motion on finite rings, II: Noncommutative rings
Arvind Ayyer, Pooja Singla
We extend our previous study of Markov chains on finite commutative rings (arXiv:1605.05089) to arbitrary finite rings with identity. At each step, we either add or multiply by a r…