| Title Transcription | トウシツ リー ループ ノ ヒョウジュン セツゾク ト 3ウェブ
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| Title Alternative (English) | Canonical Connections of Homogeneous Lie Loops and 3-Webs
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| File | |
| language |
eng
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| Author |
Kikkawa, Michihiko
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| Description | A differentiable left I. P. loop (G, μ) admits on the tangent space at the unit element two kinds of bilinear operations dμ and dL which are induced from the multiplication μ and left inner mappings. In this paper, after recalling some formulas of the Chern connection of a local 3-web of a differentiable loop, relations between this connection and bilinear operation above are investigated in differentiable left I. P. loops. The results are applied to homogeneousLie loops and it is shown that the bilinear- and trilinear products of the tangent Lie triple algebras are given by the torsion and the curvature of the Chern connections.
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| Journal Title |
Memoirs of the Faculty of Science, Shimane University
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| Volume | 19
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| Start Page | 37
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| End Page | 55
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| ISSN | 03879925
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| Published Date | 1985-12-25
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| NCID | AN00108106
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| Publisher | 島根大学理学部
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| Publisher Aalternative | The Faculty of Science, Shimane University
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| NII Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
Faculty of Science and Engineering
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| 他の一覧 |
