Chun-Yin Hui

activity

20112026

most citedOn the rationality of certain type A Galois representations

1 citations · 1 across the 9 of their papers we have counts for

collaborators

11 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…

math.NT2022

Monodromy of four dimensional irreducible compatible systems of Q

Chun Yin Hui

Let $F$ be a totally real field and $n \leq 4$ a natural number. We study the monodromy groups of any $n$ -dimensional strictly compatible system ${ρ_{λ}}_{λ}$ of $λ$ -adic representati…

math.NT2022

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations

Chun Yin Hui

Let $X$ be a smooth, separated, geometrically connected scheme defined over a number field $K$ and ${ρ_{λ}}_{λ}$ a system of n-dimensional semisimple $λ$ -adic representations of the…

math.NT2017

Torsion elements of the Nottingham group of order $p^{2}$ and type $⟨ 2, m ⟩$

Krishna Kishore

We classify torsion elements of order $p^{2}$ and type $⟨ 2, m ⟩$ in the Nottingham group defined over a prime field of characteristic $p > 0$ .

math.NT2014★ 1 cited

On the rationality of certain type A Galois representations

Chun Yin Hui

Let $X$ be a complete smooth variety defined over number field $K$ and $i$ an integer. The absolute Galois group of $K$ acts on the $i$ th $l$ -adic etale cohomology of $X$ for all $…

math.NT2012

Monodromy of Galois representations and equal-rank subalgebra equivalence

Chun Yin Hui

We study l-independence of monodromy groups G_l of any compatible system of l-adic representations (in the sense of Serre) of number field K assuming semisimplicity. We prove that…

math.NT2011

Specialization of monodromy group and l-independence

Chun Yin Hui

Let $E$ be an abelian scheme over a geometrically connected variety $X$ defined over $k$ , a finitely generated field over $Q$ . Let $η$ be the generic point of $X$ and $x\i…

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

Monodromy of four dimensional irreducible compatible systems of Q

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations

Torsion elements of the Nottingham group of order p2 and type ⟨2,m⟩

On the rationality of certain type A Galois representations

Monodromy of Galois representations and equal-rank subalgebra equivalence

Specialization of monodromy group and l-independence

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

Torsion elements of the Nottingham group of order $p^{2}$ and type $⟨ 2, m ⟩$