{"created":"2023-08-02T03:58:04.994420+00:00","id":7223,"links":{},"metadata":{"_buckets":{"deposit":"3c799493-6491-4f17-bb41-c627f24e87e8"},"_deposit":{"created_by":10,"id":"7223","owners":[10],"pid":{"revision_id":0,"type":"depid","value":"7223"},"status":"published"},"_oai":{"id":"oai:repository.lib.tottori-u.ac.jp:00007223","sets":["1:11","2:12"]},"author_link":["4685"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageStart":"2150009","bibliographicVolumeNumber":"32","bibliographic_titles":[{"bibliographic_title":"INTERNATIONAL JOURNAL OF MATHEMATICS"},{"bibliographic_title":"INTERNATIONAL JOURNAL OF MATHEMATICS","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The main aim of this paper is to show that one can construct (????,K)-modules of O(p,q) associated with the finite-dimensional representation of ????????2 by quantizing the moment map on the symplectic vector space (ℂp+q) ℝ and using the fact that (O(p,q),SL2(ℝ)) is a dual pair. Then one obtains the K-type formula, the Gelfand–Kirillov dimension and the Bernstein degree of them for all non-negative integers m satisfying m + 3 ≤ (p + q)/2 when p,q ≥ 2 and p + q is even. In fact, one finds that the Gelfand–Kirillov dimension is equal to p + q − 3 and the Bernstein degree is equal to 4(m + 1)(p + q − 4)!/((p − 2)!(q − 2)!).","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific Publishing"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1142/s0129167x21500099","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_16":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"Hashimoto Takashi. (g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2). INTERNATIONAL JOURNAL OF MATHEMATICS. 2021. 32(2). doi:10.1142/s0129167x21500099"}]}]},"item_10001_rights_15":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Electronic version of an article published as INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32(2). https://doi.org/10.1142/S0129167X21500099. (C) World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijm"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0129167X","subitem_source_identifier_type":"ISSN"}]},"item_10001_text_26":{"attribute_name":"EISSN","attribute_value_mlt":[{"subitem_text_value":"17936519"}]},"item_10001_text_33":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"University Education Center, Tottori University"}]},"item_10001_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"橋本, 隆司"},{"creatorName":"ハシモト, タカシ","creatorNameLang":"ja-Kana"},{"creatorName":"Hashimoto, Takashi","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-03-17"}],"displaytype":"detail","filename":"ijm32(2)_s0129167x21500099.pdf","filesize":[{"value":"374.3 kB"}],"format":"application/pdf","licensefree":"Electronic version of an article published as INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32(2). https://doi.org/10.1142/S0129167X21500099. (C) World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijm","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"ijm32(2)_s0129167x21500099.pdf","url":"https://repository.lib.tottori-u.ac.jp/record/7223/files/ijm32(2)_s0129167x21500099.pdf"},"version_id":"68b1e810-9bb6-4978-95ac-06aaed714134"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Indefinite orthogonal group","subitem_subject_scheme":"Other"},{"subitem_subject":"moment map on symplectic vector space","subitem_subject_scheme":"Other"},{"subitem_subject":"canonical quantization","subitem_subject_scheme":"Other"},{"subitem_subject":"irreducible (g K)-module","subitem_subject_scheme":"Other"},{"subitem_subject":"K-type formula.","subitem_subject_scheme":"Other"},{"subitem_subject":"Indefinite orthogonal group","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"moment map on symplectic vector space","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"canonical quantization","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"irreducible (g K)-module","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"K-type formula.","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article"}]},"item_title":"(g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2)","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"(g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2)","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"10","path":["12","11"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-08-24"},"publish_date":"2022-08-24","publish_status":"0","recid":"7223","relation_version_is_last":true,"title":["(g, K)-module of O(p, q) associated with the finite-dimensional representation of sl(2)"],"weko_creator_id":"10","weko_shared_id":-1},"updated":"2023-11-22T01:48:11.801630+00:00"}