A reduction theorem for τ -rigid modules Vrije Universiteit Brussel
We prove a theorem which gives a bijection between the support τ-tilting modules over a given finite-dimensional algebra A and the support τ-tilting modules over A / I, where I is the ideal generated by the intersection of the center of A and the radical of A. This bijection is both explicit and well-behaved. We give various corollaries of this, with a particular focus on blocks of group rings of finite groups. In particular we show that ...