{"created":"2022-02-03T04:37:44.036902+00:00","id":2012658,"links":{},"metadata":{"_buckets":{"deposit":"cc417b73-ba76-4eef-8b29-914b98012f68"},"_deposit":{"created_by":14,"id":"2012658","owner":"14","owners":[14],"owners_ext":{"displayname":"kugai","username":null},"pid":{"revision_id":0,"type":"depid","value":"2012658"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02012658","sets":["1642837622505:1642837628262:1643861326294","1642838403551:1642838406414"]},"author_link":[],"control_number":"2012658","item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_1551255647225":"WREATH DETERMINANTS, ZONAL SPHERICAL FUNCTIONS ON SYMMETRIC GROUPS AND THE ALON-TARSI CONJECTURE","subitem_1551255648112":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kimoto, Kazufumi","creatorNameLang":"en"}]}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_1522299896455":"en","subitem_1522300014469":"Other","subitem_1523261968819":"Symmetric groups"},{"subitem_1522299896455":"en","subitem_1522300014469":"Other","subitem_1523261968819":"zonal spherical functions"},{"subitem_1522299896455":"en","subitem_1522300014469":"Other","subitem_1523261968819":"zonal spherical functions"},{"subitem_1522299896455":"en","subitem_1522300014469":"Other","subitem_1523261968819":"wreath determinants"},{"subitem_1522299896455":"en","subitem_1522300014469":"Other","subitem_1523261968819":"Latin squares"},{"subitem_1522299896455":"en","subitem_1522300014469":"Other","subitem_1523261968819":"Latin squares"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"In the article, we give several formulas for a certain zonal spherical function on the symmetric group in terms of polynomial functions on matrices called the alpha-determinant and wreath determinant. We also explain the relation between these objects and the Alon-Tarsi conjecture on the enumeration of Latin squares. In particular, we give an alternative proofs of (i) Glynn’s result on a special case of the Alon-Tarsi conjecture, and (ii) the result due to Kumar and Landsberg on the equivalence between a special case of Kumar’s conjecture on plethysms and the Alon-Tarsi conjecture. Most of the results given here are already announced in the articles [8, 9].","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_1522300295150":"en","subitem_1522300316516":"Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus"},{"subitem_1522300295150":"ja","subitem_1522300316516":"琉球大学理学部数理科学教室"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_1551255818386":"eng"}]},"item_1617186783814":{"attribute_name":"Identifier","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/20.500.12000/50094"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_1522646500366":"ISSN","subitem_1522646572813":"2434-6071"}]},"item_1617186941041":{"attribute_name":"Source Title","attribute_value_mlt":[{"subitem_1522650068558":"en","subitem_1522650091861":"Ryukyu Mathematical Journal"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicPageEnd":"19","bibliographicPageStart":"5","bibliographicVolumeNumber":"34"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2022-02-08"}],"filename":"vol34p005.pdf","filesize":[{"value":"206 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://u-ryukyu.repo.nii.ac.jp/record/2012658/files/vol34p005.pdf"},"version_id":"896ae69e-a936-4404-b9f5-314a5904eb73"}]},"item_title":"WREATH DETERMINANTS, ZONAL SPHERICAL FUNCTIONS ON SYMMETRIC GROUPS AND THE ALON-TARSI CONJECTURE","item_type_id":"15","owner":"14","path":["1643861326294","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-02-03"},"publish_date":"2022-02-03","publish_status":"0","recid":"2012658","relation_version_is_last":true,"title":["WREATH DETERMINANTS, ZONAL SPHERICAL FUNCTIONS ON SYMMETRIC GROUPS AND THE ALON-TARSI CONJECTURE"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2022-11-29T01:55:37.444237+00:00"}