{"paper":{"title":"Twisted Orthogonality Relations For Certain $\\mathbb{Z}/m\\mathbb{Z}$-graded Algebras","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Prashant Arote","submitted_at":"2018-09-26T10:57:54Z","abstract_excerpt":"In this paper we will study the notion of a Frobenius $\\star$-algebra and prove some orthogonality relations for the irreducible characters of a Frobenius $\\star$-algebra. Then we will study $\\mathbb{Z}/m\\mathbb{Z}$-graded Frobenius $\\star$- algebras and prove some twisted orthogonality relations for them."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09902","kind":"arxiv","version":2},"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"}