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math.RT2021
Auto-correlation functions for unitary groups
Kyu-Hwan Lee, Se-jin Oh
We compute the auto-correlations functions of order for the characteristic polynomials of random matrices from certain subgroups of the unitary groups $\U(2)$ and $\U(3)$…
math.RT2021
Rigid reflections of rank 3 Coxeter groups and reduced roots of rank 2 Kac--Moody algebras
Kyu-Hwan Lee, Jeongwoo Yu
In a recent paper by K.-H. Lee and K. Lee, rigid reflections are defined for any Coxeter group via non-self-intersecting curves on a Riemann surface with labeled curves. When the C…