Xin Huang

activity

20212026

most citedDescent of equivalences for blocks with Klein four defect groups

3 citations · 5 across the 11 of their papers we have counts for

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8 papers · 1 filter

math.RT2026

The Broué invariant of a Morita equivalence with an endopermutation source

Xin Huang

A perfect isometry $I$ (introduced by Broué) between two blocks $b$ and $c$ is a frequent phenomenon in the block theory of finite groups. It maps an irreducible character $ψ$ of $…

math.RT2026

Morita equivalent blocks with an endotrivial source that are not globally isotypic

Xin Huang

Let $(K, O, k)$ be a large enough $2$ -modular system. We construct two nilpotent block algebras of finite groups which are isomorphic as $O$ -algebras and are Mori…

math.RT2026

Big categorification on towers of classical groups and wreath product groups

Xin Huang, Pengcheng Li, Yaolong Shen

We develop a uniform framework for ``big'' categorification of representation categories of towers of finite classical groups and wreath product groups. We construct actions of sym…

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 $Γ$ the Galois group $Gal (k / F_{p})$ . Let $C$ be a finite category and $\mathcal{O}_{\mathc…

math.RT2023

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…

math.RT2023★ 1 cited

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 Broué's abelian defect group conjecture holds for unipotent $ℓ$ -blocks of $GL_{n} (q)$ …

math.RT2021

The strengthened Broué abelian defect group conjecture for $SL (2, p^{n})$ and $GL (2, p^{n})$

Xin Huang, Pengcheng Li, Jiping Zhang

We show that each $p$ -block of $SL (2, p^{n})$ and $GL (2, p^{n})$ over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer corresponde…

math.RT2021★ 1 cited

Descent of splendid Rickard equivalences in alternating groups

Xin Huang

We show that each block of an alternating group over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer correspondent. This provides new e…

The Broué invariant of a Morita equivalence with an endopermutation source

Morita equivalent blocks with an endotrivial source that are not globally isotypic

Big categorification on towers of classical groups and wreath product groups

The Galois Alperin weight conjecture for finite category algebras

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

Descent of splendid Rickard equivalences in GLn​(q)

The strengthened Broué abelian defect group conjecture for SL(2,pn) and GL(2,pn)

Descent of splendid Rickard equivalences in alternating groups

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

The strengthened Broué abelian defect group conjecture for $SL (2, p^{n})$ and $GL (2, p^{n})$