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We first prove Frobenius reciprocity between the irreducible representations of finite schemes and their fusion schemes, and add a formula on multiplicities. After that, we provide Clifford type theorems for association schemes and their algebraic fusions. (C) 2012 Elsevier Inc. All rights reserved."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Hanaki,  Akihide"}], "nameIdentifiers": [{"nameIdentifier": "36245", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Clifford_type_theorems_association_schemes.pdf", "filesize": [{"value": "276.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 276300.0, "url": {"label": "Clifford_type_theorems_association_schemes.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11831/files/Clifford_type_theorems_association_schemes.pdf"}, "version_id": "9aa9d22f-2c13-40ef-affd-b024079d8dc8"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "Association scheme", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Character", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Fusion scheme", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Clifford type theorems for association schemes and their algebraic fusions", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Clifford type theorems for association schemes and their algebraic fusions", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/16083", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2012-11-22"}, "publish_date": "2012-11-22", "publish_status": "0", "recid": "11831", "relation": {}, "relation_version_is_last": true, "title": ["Clifford type theorems for association schemes and their algebraic fusions"], "weko_shared_id": -1}