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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… Click to show full abstract
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 data). 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 datas.
Keywords:
lie algebras;
metric lie;
leibniz algebras;
generalized orthogonal;
leibniz;
algebras generalized
Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2018
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Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!