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Remarks on the Relations between Non Abelian de Rham Theories with respect to G and ΩG
http://hdl.handle.net/10091/10588
http://hdl.handle.net/10091/10588dd1a5306-0fd9-4e81-919c-4708bbb439e9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Science23-02-01.pdf (506.7 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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| 公開日 | 2010-10-06 | |||||
| タイトル | ||||||
| タイトル | Remarks on the Relations between Non Abelian de Rham Theories with respect to G and ΩG | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
ASADA, AKIRA
× ASADA, AKIRA |
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| 出版者 | ||||||
| 出版者 | 信州大学理学部 | |||||
| 引用 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 信州大学理学部紀要 23(2): 77-90(1989) | |||||
| 書誌情報 |
信州大学理学部紀要 巻 23, 号 2, p. 77-90, 発行日 1989-03-30 |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let G be GL (n,c) and ΩG the based loop group over G. Then the (stable) first and second non abelian de Rham sets with respect to G and ΩG are related by the diagram … Here, ΩMe is the space of zero homotopic loops over M, g is the Lie algebra of G, Ωg is the loop algebra over g, and M¹ and M¹Ωg are the sheaves of germs of g- and Ωg-valued integrable forms on M, a smooth Hilbert manifold. The maps ρ*i, B₀ and B₁ are denned by using Grassmanhian model of loop qroups (B is defined with some additional assumptions at this stage). Geometric characterization of the map from M into ΩG, the basic central extension of ΩG, together with its quantization condition and relations of several characteristic classes of non abelian de Rham sets, including string classes, and the above maps are also given. | |||||
| 資源タイプ（コンテンツの種類） | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Article | |||||
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| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0583-063X | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00697923 | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
