3 citations · 5 across the 11 of their papers we have counts for
12 papers
The Broué invariant of a Morita equivalence with an endopermutation source
Xin Huang
A perfect isometry (introduced by Broué) between two blocks and is a frequent phenomenon in the block theory of finite groups. It maps an irreducible character of $…
Morita equivalent blocks with an endotrivial source that are not globally isotypic
Xin Huang
Let be a large enough -modular system. We construct two nilpotent block algebras of finite groups which are isomorphic as -algebras and are Mori…
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…
The Galois Alperin weight conjecture for finite category algebras
Xin Huang
Let be a prime, an algebraic closure of and the Galois group . Let be a finite category and $\mathcal{O}_{\mathc…
Howe duality in the toroidal setting
Fulin Chen, Xin Huang, Shaobin Tan
In this paper, we construct and study various dual pairs acting on the oscillator modules of the symplectic toroidal Lie algebras coordinated by irrational quantum tori. This exten…
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…
Descent of splendid Rickard equivalences in
Xin Huang, Pengcheng Li, Jiping Zhang
Let be a positive integer and a prime power. We prove that a refined version of Broué's abelian defect group conjecture holds for unipotent -blocks of …
A generalization of the Schwarz lemma for transversally harmonic maps
Xin Huang, Weike Yu
In this paper, we consider transversally harmonic maps between Riemannian manifolds with Riemannian foliations. In terms of the Bochner techniques and sub-Laplacian comparison theo…
The strengthened Broué abelian defect group conjecture for and
Xin Huang, Pengcheng Li, Jiping Zhang
We show that each -block of and over an arbitrary complete discrete valuation ring is splendidly Rickard equivalent to its Brauer corresponde…
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…
Isoparametric hypersurfaces of conic Finsler manifolds
Qun He, Xin Huang, Peilong Dong
In this paper, we introduce isoparametric functions and isoparametric hypersurfaces in conic Finsler spaces. We find that in a conic Minkowski space, besides the conic Minkowski hy…
Descent of equivalences for blocks with Klein four defect groups
Xin Huang
We show that the splendid Rickard complexes for blocks with Klein four defect groups constructed by Rickard and Linckelmann descend to non-split fields. As a corollary, Navarro's r…