{"paper":{"title":"Extensors","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Antonio M. Moya, Virginia V. Fern\\'andez, Waldyr A. Rodrigues Jr","submitted_at":"2002-12-16T15:43:49Z","abstract_excerpt":"In this paper we introduce a class of mathematical objects called \\emph{extensors} and develop some aspects of their theory with considerable detail. We give special names to several particular but important cases of extensors. The \\emph{extension,} \\emph{adjoint} and \\emph{generalization} operators are introduced and their properties studied. For the so-called $(1,1)$-extensors we define the concept of \\emph{determinant}, and their properties are investigated. Some preliminary applications of the theory of extensors are presented in order to show the power of the new concept in action. An use"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0212046","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"}