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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
Title Alternative (English)
Canonical Connections of Homogeneous Lie Loops and 3-Webs
File
language
eng
Author
Kikkawa, Michihiko
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.
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
19
Start Page
37
End Page
55
ISSN
03879925
Published Date
1985-12-25
NCID
AN00108106
Publisher
島根大学理学部
Publisher Aalternative
The Faculty of Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering
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