{"paper":{"title":"Representations of skew group algebras induced from isomorphically invariant modules over path algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Fang Li, Mianmian Zhang","submitted_at":"2014-07-04T09:29:23Z","abstract_excerpt":"Suppose that $Q$ is a connected quiver without oriented cycles and $\\sigma$ is an automorphism of $Q$. Let $k$ be an algebraically closed field whose characteristic does not divide the order of the cyclic group $\\langle\\sigma\\rangle$.\n  The aim of this paper is to investigate the relationship between indecomposable $kQ$-modules and indecomposable $kQ\\#k\\langle\\sigma\\rangle$-modules. It has been shown by Hubery that any $kQ\\#k\\langle\\sigma\\rangle$-module is an isomorphically invariant $kQ$-module, i.e., ii-module (in this paper, we call it $\\langle\\sigma\\rangle$-equivalent $kQ$-module), and con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1163","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"}