{"created":"2025-02-21T03:58:47.644324+00:00","id":2007650,"links":{},"metadata":{"_buckets":{"deposit":"3d1ab78a-f9bf-433f-a361-16a0db4d89a1"},"_deposit":{"created_by":41,"id":"2007650","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2007650"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02007650","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Agaoka, Yoshio","creatorNameLang":"en"}],"familyNames":[{"familyName":"Agaoka","familyNameLang":"en"}],"givenNames":[{"givenName":"Yoshio","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2002 Elsevier Science Inc."}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"Variety of Lie algebras","subitem_subject_scheme":"Other"},{"subitem_subject":"covariant","subitem_subject_scheme":"Other"},{"subitem_subject":"invariant","subitem_subject_scheme":"Other"},{"subitem_subject":"deformation","subitem_subject_scheme":"Other"},{"subitem_subject":"degeneration","subitem_subject_scheme":"Other"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We give an algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras from the representation theoretic viewpoint. For this purpose, we give the GL(V)-irreducible decomposition of the polynomial ring of the space ⋀2V* ⊗ V (V = C4) up to degree three, and show that intrinsic concepts defined by the vanishing of these covariants are sufficient to distinguish the isomorphism classes. As an application, we describe the variety of 4-dimensional Lie algebras and their degenerations in a comparatively simple form, by introducing a new family of normal forms of 4-dimensional Lie algebras that are just fitted for these purposes.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Elsevier"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"0024-3795","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA00717292","subitem_source_identifier_type":"NCID"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"85"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002-04","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1-3","bibliographicPageEnd":"118","bibliographicPageStart":"85","bibliographicVolumeNumber":"345","bibliographic_titles":[{"bibliographic_title":"Linear Algebra and its Applications"},{"bibliographic_title":"Linear Algebra and its Applications"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/S0024-3795(01)00473-6","subitem_relation_type_select":"DOI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1016/S0024-3795(01)00473-6","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"LinearAlgebraAppl_345_85.pdf","filesize":[{"value":"1.7 MB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2007650/files/LinearAlgebraAppl_345_85.pdf"},"version_id":"d1bcb1f6-3b1d-4ae9-bbac-361b35924b51"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"20313"},"item_title":"An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2007650","relation_version_is_last":true,"title":["An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T10:35:09.245328+00:00"}