{"created":"2023-07-25T08:02:59.643314+00:00","id":852,"links":{},"metadata":{"_buckets":{"deposit":"dcb73eff-37d7-4041-b549-a869e24876b3"},"_deposit":{"created_by":18,"id":"852","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"852"},"status":"published"},"_oai":{"id":"oai:ir.kagoshima-u.ac.jp:00000852","sets":["54:79"]},"author_link":["5444"],"item_8_date_6":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2012-05-04","subitem_date_issued_type":"Collected"}]},"item_8_description_4":{"attribute_name":"要約(Abstract)","attribute_value_mlt":[{"subitem_description":"2008-2011年度科学研究費助成事業(科学研究費補助金(若手研究(B)))研究成果報告書　課題番号：20740020　研究代表者：伊藤稔 (鹿児島大学大学院理工学研究科(理学系)准教授)","subitem_description_language":"ja","subitem_description_type":"Other"},{"subitem_description":"第一の成果は, テンソル代数における微分概念を導入して, それをテンソル代数やリー環の普遍包絡環などの非可換代数における不変式論に応用したことである. さらにこの結果のq類似も得た. 第二の成果は, 多項式環と外積代数における不変式論の第一・第二基本定理の多くの系列の発見である. この第二基本定理の背後にはCayley-Hamilton型の定理があり, 外積代数の結果についてはPolynomial Identityの理論との結びつきも得た.","subitem_description_language":"ja","subitem_description_type":"Other"},{"subitem_description":"The first result is the notion of derivations on tensor algebras and its applications to the invariant theory of noncommutative algebras (e.g. tensor algebras or universal enveloping algebras of Lie algebras). I also obtained a q-analogue of these results.\nThe second result is some series of first and second fundamental theorems of invariant\ntheory for polynomial algebras and exterior algebras. We have Cayley-Hamilton type\ntheorems behind these second fundamental theorems. In addition, these second fundamental theorems for exterior algebras are closely related to the theory of  polynomial identities.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_8_publisher_23":{"attribute_name":"公開者・出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島大学","subitem_publisher_language":"ja"},{"subitem_publisher":"Kagoshima University","subitem_publisher_language":"en"}]},"item_8_subject_15":{"attribute_name":"NDC","attribute_value_mlt":[{"subitem_subject":"411","subitem_subject_scheme":"NDC"}]},"item_8_text_41":{"attribute_name":"科研費番号 ","attribute_value_mlt":[{"subitem_text_value":"20740020"}]},"item_8_version_type_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"伊藤, 稔","creatorNameLang":"ja"},{"creatorName":"ITOH, Minoru","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"5444","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"1000060381141","nameIdentifierScheme":"NRID","nameIdentifierURI":" "}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-10-27"}],"displaytype":"detail","filename":"20740020seika.pdf","filesize":[{"value":"187.4 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"label":"20740020seika.pdf","objectType":"fulltext","url":"https://ir.kagoshima-u.ac.jp/record/852/files/20740020seika.pdf"},"version_id":"12a9ee9f-d308-4768-b75f-b50f6b2dcb1d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"テンソル代数","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"dual pair","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"外積代数","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"不変式論の第一・第二基本定理","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Cayley-Hamiltonの定理","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"普遍包絡環の中心元","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"量子群","subitem_subject_language":"ja","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"カペリ型恒等式とリー環の普遍包絡環の研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"カペリ型恒等式とリー環の普遍包絡環の研究","subitem_title_language":"ja"},{"subitem_title":"Capelli type identities and enveloping algebras of Lie algebras","subitem_title_language":"en"}]},"item_type_id":"8","owner":"18","path":["79"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2014-12-24"},"publish_date":"2014-12-24","publish_status":"0","recid":"852","relation_version_is_last":true,"title":["カペリ型恒等式とリー環の普遍包絡環の研究"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-05-23T02:18:07.604298+00:00"}