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対称空間のq類似の研究: association scheme の枠組による
https://doi.org/10.24517/00034501
https://doi.org/10.24517/000345017eb92205-aa1f-49b3-aa76-2bacd8973601
名前 / ファイル | ライセンス | アクション |
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SC-PR-ITO-T-kaken 2014-4p.pdf (90.8 kB)
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Item type | 報告書 / Research Paper(1) | |||||
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公開日 | 2017-10-05 | |||||
タイトル | ||||||
タイトル | 対称空間のq類似の研究: association scheme の枠組による | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A study of q-analogues of symmetric spaces in the framework of association schemes | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
ID登録 | ||||||
ID登録 | 10.24517/00034501 | |||||
ID登録タイプ | JaLC | |||||
著者別表示 |
Ito, Tatsuro
× Ito, Tatsuro |
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提供者所属 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 金沢大学理工研究域数物科学系 | |||||
書誌情報 |
平成25(2013)年度 科学研究費補助金 挑戦的萌芽研究 研究成果報告書 en : 2013 Fiscal Year Final Research Report 巻 2011-2013, p. 4p., 発行日 2014-06-02 |
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出版者 | ||||||
出版者 | 金沢大学数物科学系 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | PかつQ多項式スキームの Terwilliger 代数にはI型,II型,III型があり,その既約表現の構造はI型のみが決定されていた.すなわちI型については,指標公式に現れる分解に応じた構造を持つことが示されていた.II型,III型についても指標公式が成立し,同様のことが言えるであろうと予想されていたが,本研究において,この予想を肯定的に解決した.実質的に行ったことは,II型,III型のTD対が「L対のある種のテンソル積」になることを示し,その分類を完成させたことである.副産物として,TD対に関する指標公式が証明された. | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | It is conjectured about the Terwilliger algebras of P- and Q-polynomoial schemes that a character formula holds for their irreducible representations, and in turn that their irreducible representations have a structure that corresponds to the decomposition of the character formula. This conjecture was known to be true for the case of type I and left open for the remaining cases, i.e., the cases of type II, III. In this study, we have settled the conjecture affirmatively by showing TD-pairs of type II, III are certain kind of tensor products of L-pairs. As a result, it is shown that a character formula holds not only for TD-pairs of type I, but also for those of type II, III. | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 研究課題/領域番号:23654005, 研究期間(年度):2011–2013 | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 出典:研究課題「対称空間のq類似の研究: association scheme の枠組による」課題番号23654005 (KAKEN:科学研究費助成事業データベース(国立情報学研究所)) (https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-23654005/23654005seika/)を加工して作成 |
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著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/search/?qm=90015909 | |||||
関連名称 | https://kaken.nii.ac.jp/search/?qm=90015909 | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654005/ | |||||
関連名称 | https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654005/ | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-23654005/23654005seika/ | |||||
関連名称 | https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-23654005/23654005seika/ |