2022/11/18 by Aslak Bakke Buan, Buan, Aslak Bakke, Bethany Marsh +1
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Advanced Algebra and Logic
paper · pdf · doi:10.48550/arxiv.2211.10428
We establish some properties of τ-exceptional sequences for finite-dimensional algebras. In an earlier paper we established a bijection between the set of ordered support τ-tilting modules and the set of complete signed τ-exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a τ-exceptional sequence obtained by mutating the corresponding ordered support τ-tilting module via a construction of Adachi-Iyama-Reiten.