5 papers
On stable equivalences of Morita type with twisted diagonal vertices
Xin Huang
We give a new proof, by using simplified terminology and notation, to a result of Puig stating that if a bimodule of two block algebras of finite groups over an algebraically close…
Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences
Xin Huang, Deniz Yılmaz
We show that functorial equivalences can offer new insight into the blockwise Galois Alperin weight conjecture (BGAWC). Inspired by Knörr and Robinson's work, we first formulate t…
On Morita equivalences with endopermutation source and isotypies
Xin Huang
We introduce a new type of equivalence between blocks of finite group algebras called an almost isotypy. An almost isotypy restricts to a weak isotypy in Broué's original definiti…
On stability of exponentially subelliptic harmonic maps
Xin Huang
In this paper, we study the stability problem of exponentially subelliptic harmonic maps from sub-Riemannian manifolds to Riemannian manifolds. We derive the rst and second variati…
On stable equivalences with endopermutation source and Külshammer--Puig classes
Xin Huang
We give a new proof, by using the terminology and notation in the textbook \cite{Lin18b}, to a result, due to Puig, stating that a stable equivalence of Morita type between two blo…