WEKO3
アイテム
{"_buckets": {"deposit": "5878a289-21a7-47e1-b0e0-563ace7e92a2"}, "_deposit": {"created_by": 16, "id": "2234", "owners": [16], "pid": {"revision_id": 0, "type": "depid", "value": "2234"}, "status": "published"}, "_oai": {"id": "oai:oacis.repo.nii.ac.jp:00002234", "sets": ["565", "566"]}, "author_link": ["3525"], "item_3_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2021-10", "bibliographicIssueDateType": "Issued"}, "bibliographicPageStart": "115513", "bibliographicVolumeNumber": "971", "bibliographic_titles": [{"bibliographic_title": "Nuclear Physics B"}]}]}, "item_3_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendieck classes by the K-theoretic pushforward from the Grothendieck group of Grassmann bundles to the Grothendieck group of a nonsingular variety. Using the commutation relation, we show that two types of partition functions of an integrable five-vertex model, which can be explicitly described using skew Grothendieck polynomials, and can be viewed as Grothendieck classes, are directly connected by the K-theoretic pushforward. We show that special cases of the pushforward formula which correspond to the nonskew version are also special cases of the formulas derived by Buch. We also present a skew generalization of an identity for the Grothendieck polynomials by Guo and Sun, which is an extension of the one for Schur polynomials by Fehér, Némethi and Rimányi. We also show an application of the pushforward formula and derive an integration formula for the Grothendieck polynomials.", "subitem_description_type": "Abstract"}]}, "item_3_description_63": {"attribute_name": "研究課題番号", "attribute_value_mlt": [{"subitem_description": "18K03205", "subitem_description_type": "Other"}]}, "item_3_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Elsevier B. V."}]}, "item_3_relation_11": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1016/j.nuclphysb.2021.115513", "subitem_relation_type_select": "DOI"}}]}, "item_3_relation_13": {"attribute_name": "情報源", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "Publisher\u0027s Version/PDF (OpenAccess)"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1016/j.nuclphysb.2021.115513", "subitem_relation_type_select": "DOI"}}, {"subitem_relation_name": [{"subitem_relation_name_text": "KAKEN研究課題: 量子可積分系の代数解析的手法による対称関数の研究"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-18K03205/", "subitem_relation_type_select": "URI"}}, {"subitem_relation_name": [{"subitem_relation_name_text": "研究代表者: 茂木 康平 (東京海洋大学)"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://nrid.nii.ac.jp/ja/nrid/1000030583033/", "subitem_relation_type_select": "URI"}}, {"subitem_relation_name": [{"subitem_relation_name_text": "Elsevier B. V."}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://www.sciencedirect.com/journal/nuclear-physics-b", "subitem_relation_type_select": "URI"}}]}, "item_3_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "05503213", "subitem_source_identifier_type": "ISSN"}]}, "item_3_subject_62": {"attribute_name": "件名", "attribute_value_mlt": [{"subitem_subject": "科学研究費研究成果", "subitem_subject_scheme": "Other"}]}, "item_3_subject_64": {"attribute_name": "科学研究費研究課題", "attribute_value_mlt": [{"subitem_subject": "量子可積分系の代数解析的手法による対称関数の研究", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Studies on symmetric functions by algebraic analysis of quantum integrable models", "subitem_subject_scheme": "Other"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "metadata only access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_14cb"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Motegi, Kohei"}], "nameIdentifiers": [{"nameIdentifier": "3525", "nameIdentifierScheme": "WEKO"}, {"nameIdentifier": "30583033", "nameIdentifierScheme": "e-Rad", "nameIdentifierURI": "https://kaken.nii.ac.jp/ja/search/?qm=30583033"}]}]}, "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", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Integrable models and K-theoretic pushforward of Grothendieck classes", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Integrable models and K-theoretic pushforward of Grothendieck classes"}]}, "item_type_id": "3", "owner": "16", "path": ["565", "566"], "permalink_uri": "https://oacis.repo.nii.ac.jp/records/2234", "pubdate": {"attribute_name": "公開日", "attribute_value": "2021-11-11"}, "publish_date": "2021-11-11", "publish_status": "0", "recid": "2234", "relation": {}, "relation_version_is_last": true, "title": ["Integrable models and K-theoretic pushforward of Grothendieck classes"], "weko_shared_id": 16}
Integrable models and K-theoretic pushforward of Grothendieck classes
https://oacis.repo.nii.ac.jp/records/2234
https://oacis.repo.nii.ac.jp/records/2234f0413e8f-1cf5-402d-bba5-cb7f870781ec
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2021-11-11 | |||||
タイトル | ||||||
タイトル | Integrable models and K-theoretic pushforward of Grothendieck classes | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
著者 |
Motegi, Kohei
× Motegi, Kohei |
|||||
書誌情報 |
Nuclear Physics B 巻 971, p. 115513, 発行日 2021-10 |
|||||
抄録 | ||||||
内容記述 | We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendieck classes by the K-theoretic pushforward from the Grothendieck group of Grassmann bundles to the Grothendieck group of a nonsingular variety. Using the commutation relation, we show that two types of partition functions of an integrable five-vertex model, which can be explicitly described using skew Grothendieck polynomials, and can be viewed as Grothendieck classes, are directly connected by the K-theoretic pushforward. We show that special cases of the pushforward formula which correspond to the nonskew version are also special cases of the formulas derived by Buch. We also present a skew generalization of an identity for the Grothendieck polynomials by Guo and Sun, which is an extension of the one for Schur polynomials by Fehér, Némethi and Rimányi. We also show an application of the pushforward formula and derive an integration formula for the Grothendieck polynomials. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 05503213 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1016/j.nuclphysb.2021.115513 | |||||
情報源 | ||||||
関連識別子 | https://doi.org/10.1016/j.nuclphysb.2021.115513 | |||||
関連名称 | Publisher's Version/PDF (OpenAccess) | |||||
情報源 | ||||||
関連識別子 | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-18K03205/ | |||||
関連名称 | KAKEN研究課題: 量子可積分系の代数解析的手法による対称関数の研究 | |||||
情報源 | ||||||
関連識別子 | https://nrid.nii.ac.jp/ja/nrid/1000030583033/ | |||||
関連名称 | 研究代表者: 茂木 康平 (東京海洋大学) | |||||
情報源 | ||||||
関連識別子 | https://www.sciencedirect.com/journal/nuclear-physics-b | |||||
関連名称 | Elsevier B. V. | |||||
件名 | ||||||
主題 | 科学研究費研究成果 | |||||
出版者 | ||||||
出版者 | Elsevier B. V. | |||||
科学研究費研究課題 | ||||||
主題 | 量子可積分系の代数解析的手法による対称関数の研究 | |||||
科学研究費研究課題 | ||||||
主題 | Studies on symmetric functions by algebraic analysis of quantum integrable models | |||||
研究課題番号 | ||||||
内容記述 | 18K03205 |