Metric Lie algebras and quadratic extensions
نویسندگان
چکیده
منابع مشابه
Metric Lie algebras and quadratic extensions
The present paper contains a systematic study of the structure of metric Lie algebras, i.e., finite-dimensional real Lie algebras equipped with a non-degenerate invariant symmetric bilinear form. We show that any metric Lie algebra g without simple ideals has the structure of a so called balanced quadratic extension of an auxiliary Lie algebra l by an orthogonal l-module a in a canonical way. I...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2006
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-005-1106-5