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math.RT2025
Representation theory and central limit theorems for traces of commutators for compact Lie groups
Jason Fulman
There has been some work in the literature on limit theorems for the trace of commutators for compact Lie groups. We revisit this from the perspective of combinatorial representati…
math.RT2024
Tensor product Markov chains and Weil representations
Jason Fulman, Michael Larsen, Pham Huu Tiep
We obtain sharp bounds on the convergence rate of Markov chains on irreducible representations of finite general linear, unitary, and symplectic groups (in both odd and even charac…