Transitivity of mutation of τ-exceptional sequences in the τ-tilting finite case

2025/06/26 by Aslak Bakke Buan, Buan, Aslak B., Eric J. Hanson +3
Computer Science · Engineering · Medicine · #Coding theory and cryptography #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2506.21372

openalex publication_date 2025/06/26 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

We prove that mutation of complete τ-exceptional sequences is transitive for τ-tilting finite algebras.

Citations

• Mutating ordered τ-rigid modules with applications to Nakayama algebras
• A category of wide subcategories

Related

• Mutation of τ-exceptional pairs and sequences
• Mutating signed τ-exceptional sequences
• Mutation of τ-exceptional sequences for acyclic quivers over local algebras
• Mutating ordered τ-rigid modules with applications to Nakayama algebras
• Three kinds of mutation