Chun-Yin Hui

activity

20242026

collaborators

5 papers

math.NT2026

On coefficients, potentially abelian quotients, and residual irreducibility of compatible systems

Gebhard Böckle, Chun-Yin Hui

Let ${ρ_{λ} : G_{K} \to G L_{n} (E_{λ})}$ be a semisimple E-rational compatible system of a number field K. In a first step, building upon the theory of pseudocharacters [Ro…

math.NT2025

Rectangular representations and $λ$ -independence of algebraic monodromy groups

Chun-Yin Hui, Wonwoong Lee

Let $g$ be a complex semisimple Lie algebra. We define what it means for a finite dimensional representation of $g$ to be rectangular and completely classify fa…

math.NT2024

Comparison of component groups of $ℓ$ -adic and mod $ℓ$ monodromy groups

Boyi Dai, Chun Yin Hui

Let ${ρ_{ℓ} : Gal_{K} \to GL_{n} (Q_{ℓ})}_{ℓ}$ be a semisimple compatible system of $ℓ$ -adic representations of a number field $K$ that is arising f…

math.NT2024

Monodromy and irreducibility of type $A_{1}$ automorphic Galois representations

Chun-Yin Hui, Wonwoong Lee

Let $K$ be a totally real field and $π$ be a regular algebraic polarized cuspidal automorphic representation of $GL_{n} (A_{K})$ . Let $\{ρ_{π,λ}:\mathrm{Gal}_K\to\mathr…

math.NT2024

Weak abelian direct summands and irreducibility of Galois representations

Gebhard Böckle, Chun-Yin Hui

Let $ρ_{ℓ}$ be a semisimple $ℓ$ -adic representation of a number field $K$ that is unramified almost everywhere. We introduce a new notion called weak abelian direct summands of…

On coefficients, potentially abelian quotients, and residual irreducibility of compatible systems

Rectangular representations and λ-independence of algebraic monodromy groups

Comparison of component groups of ℓ-adic and mod ℓ monodromy groups

Monodromy and irreducibility of type A1​ automorphic Galois representations

Weak abelian direct summands and irreducibility of Galois representations

Rectangular representations and $λ$ -independence of algebraic monodromy groups

Comparison of component groups of $ℓ$ -adic and mod $ℓ$ monodromy groups

Monodromy and irreducibility of type $A_{1}$ automorphic Galois representations