Rong TANG, LINA SONG

Generalized metric $n$-Leibniz algebras and generalized orthogonal representation of metric Lie algebras

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

We introduce the notion of a generalized metric $n$-Leibniz algebra and show that there is a one-to-one correspondence between generalized metric $n$-Leibniz algebras and faithful generalized orthogonal representations of metric Lie algebras (called Lie triple datas). We further show that there is also a one-to-one correspondence between generalized orthogonal derivations (resp. generalized orthogonal automorphisms) on generalized metric $n$-Leibniz algebras and Lie triple data.

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