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Title Transcription
リー サンコウ ダイスウ ノ フヘン ケイシキ ニカンスル チュウイ
Title Alternative (English)
Remarks on Invariant Forms of Lie Triple Algebras
File
language
eng
Author
Kikkawa, Michihiko
Description
Invariant forms of Lie triple algebras have been introduced in[3]as generalizations of those of Lie algebras and Lie tripie systems. In this paper,the meaning of the definition((2.1)and (2.2))of invariant forms is clarified from a viewpoint of invariance under endomorphisms of the Lie triple algebra(Proposition 3).The main theorem shows that there exists a one-to-one correspondence between the set of all invariant forms of a Lie tripie aigebra g and the set of invariant forms ofits standard enveioping Lie algebra A = g【○!+】D(g,g)satisfyiing the orthogonal condition g⊥D(g,g).
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
16
Start Page
23
End Page
27
ISSN
03879925
Published Date
1982-12-25
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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