Prederivations of Lie Algebras and Isometries of Bi-invariant Lie Group |
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Authors: | Ignacio Bajo |
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Institution: | (1) Dept. Mathemática Aplicada, ET.S.I. Industriales, Universidad de Vigo, Vigo, Spain |
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Abstract: | Lie groups with bi-invariant semi-Riemannian metrics are considered. We study the decomposition of the algebra of prederivations of a direct sum of Lie algebras and derive some results on the isotropy group of a bi-invariant product Lie group. We also give necessary and sufficient conditions to ensure that all isometries of a complex Lie group, endowed with a bi-invariant Norden metric, are holomorphic. |
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Keywords: | Lie algebra Lie group invariant metric isometry group |
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