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Lower Weight Gel’fand-Kalinin-Fuks Cohomology Groups of the Formal Hamiltonian Vector Fields on R4
http://hdl.handle.net/2261/59034
37c8a384-5adc-41c9-9f87-5d6ffbc3ba41
名前 / ファイル | ライセンス | アクション | |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | Lower Weight Gel’fand-Kalinin-Fuks Cohomology Groups of the Formal Hamiltonian Vector Fields on R4 | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Mikami, Kentaro
× Mikami, Kentaro× Nakae, Yasuharu |
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著者所属 | ||||||
著者所属 | Department of Computer Science and Engineering, Akita University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, we investigate the relative Gel’fand- Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R4. In the case of formal Hamiltonian vector fields on R2, we computed the relative Gel’fand-Kalinin-Fuks cohomology groups of weight < 20 in the paper by Mikami-Nakae-Kodama. The main strategy there was decomposing the Gel’fand-Fucks cochain complex into irreducible factors and picking up the trivial representations and their concrete bases, and ours is essentially the same. By computer calculation, we determine the relative Gel’fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R4 of weights 2, 4 and 6. In the case of weight 2, the Betti number of the cohomology group is equal to 1 at degree 2 and is 0 at any other degree. In weight 4, the Betti number is 2 at degree 4 and is 0 at any other degree, and in weight 6, the Betti number is 0 at any degree. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 4, p. 699-716, 発行日 2013-03-15 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
57R32(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
57R17(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
17B66(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2012-09-19 |