{"paper":{"title":"Cluster automorphisms and quasi-automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Ralf Schiffler, Wen Chang","submitted_at":"2018-08-06T20:56:00Z","abstract_excerpt":"We study the relation between the cluster automorphisms and the quasi-automorphisms of a cluster algebra $\\mathcal{A}$. We proof that under some mild condition, satisfied for example by every skew-symmetric cluster algebra, the quasi-automorphism group of $\\mathcal{A}$ is isomorphic to a subgroup of the cluster automorphism group of $\\mathcal{A}_{triv}$, and the two groups are isomorphic if $\\mathcal{A}$ has principal or universal coefficients; here $\\mathcal{A}_{triv}$ is the cluster algebra with trivial coefficients obtained from $\\mathcal{A}$ by setting all frozen variables equal to the int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02108","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}