2025/06/24 by Zachary Nash, Nash, Zachary, Dylan Rupel +1
Mathematics · #13F60 #33E20 #Advanced Topics in Algebra #Approximation Theory and Sequence Spaces #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2507.10555
openalex publication_date 2025/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use the periodicities of cluster groupoid mutations established by Li and the second author to prove that the dilogarithm identities of higher degree obtained by Nakanishi follow from the classical dilogarithm identities associated to a periodicity of cluster mutations when the exchange matrix is full rank.