Orthogonal modules and (projectively) Wakamatsu tilting modules


Conference Talk in Orthogonal modules and homological dimensions at Online

Based on my preprint:


Wakamatsu tilting modules are a special type of orthogonal module that generalize both tilting and cotilting modules, and naturally arise in the context of exact categories. Recently, a new subclass of these modules called projectively Wakamatsu tilting modules has been introduced. In this talk, we will explain the basics of these modules and present some results: when the algebra is representation-finite, then (projectively) Wakamatsu tilting modules are precisely maximal orthogonal modules, and every orthogonal module can be completed into some Wakamatsu tilting module.