Support $\tau$-tilting posets and Hochschild reconstruction for matrix centralizer algebras

Jiangsheng Hu, Yu-Zhe Liu, Tiwei Zhao

Let $R$ be a field, and let $\mathcal{O}$ be a finite-dimensional commutative local principal ideal $R$-algebra of Loewy length $\ell$ with $\mathrm{rad}\mathcal{O}=(\pi )$. For…