Xin Huang

collaborators

3 papers

math.RT2026

The Galois Alperin weight conjecture for finite category algebras

Xin Huang

Let $p$ be a prime, $k$ an algebraic closure of $F_{p}$ and $I^$ the Galois group $Gal (k / F_{p})$ . Let $C$ be a finite category and $\mathcal{O}_{\math…

math.RT2024

Descent of splendid Rickard equivalences in $GL_{n} (q)$

Xin Huang, Pengcheng Li, Jiping Zhang

Let $n$ be a positive integer and $q$ a prime power. We prove that a refined version of BrouÃ©'s abelian defect group conjecture holds for unipotent $ℓ$ -blocks of ${\rm GL}_n(q)…

math.RT2024

Stable equivalences with endopermutation source, slash functors, and functorial equivalences

Xin Huang

We show that a bimodule of two block algebras of finite groups which has an endopermutation module as a source and which induces a stable equivalence of Morita type gives rise, via…

The Galois Alperin weight conjecture for finite category algebras

Descent of splendid Rickard equivalences in GLn​(q)

Stable equivalences with endopermutation source, slash functors, and functorial equivalences

Descent of splendid Rickard equivalences in $GL_{n} (q)$