2004/12/03 by Aslak Bakke Buan, Buan, Aslak Bakke, Bethany Marsh +3 · 17 citations
Chemistry · Mathematics · #05E99 (Secondary) #16G20 #16G70 (Primary) 13A99 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Biology #Chemistry #Cluster (spacecraft) #Cluster algebra #Computer science #FOS: Mathematics #Gene #Genetics #Interpretation (philosophy) #Mathematics #Matrix (chemical analysis) #Mutation #Physics #Pure mathematics #Quiver #Representation (politics) #Representation Theory (math.RT) #Representation theory #Rings and Algebras (math.RA) #Statistical physics #math.RA #math.RT #msc:05E99 #msc:13A99 #msc:16G20 #msc:16G70
paper · pdf · doi:10.48550/arxiv.math/0412077
published in arXiv (Cornell University) (Cornell University) · 28 pages, a new Section 2 to correct an error in earlier version
openalex publication_date 2004/12/03 · arxiv created 2005/09/08 · arxiv updated 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Matrix mutation appears in the definition of cluster algebras of Fomin and Zelevinsky. We give a representation theoretic interpretation of matrix mutation, using tilting theory in cluster categories of hereditary algebras. Using this, we obtain a representation theoretical interpretation of cluster mutation in case of acyclic cluster algebras of finite type.