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math.RT2026
Morita equivalent blocks with an endotrivial source that are not globally isotypic
Xin Huang
Let be a large enough -modular system. We show that there is a block algebra of which is Morita equivalent to $\mathcal{O} Q_8…
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 be a prime, an algebraic closure of and the Galois group . Let be a finite category and $\mathcal{O}_{\mathc…