Journal of applied mathematics & informatics
- 제16권1_2호
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- Pages.453-459
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- 2004
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
LEFT-INVARIANT FLAT RIEMANNIAN STRUCTURES ON LIE GROUPS
초록
A left-invariant flat Riemannian connection on a Lie group makes its Lie algebra a left symmetric algebra compatible with an inner product. The left symmetric algebra is decomposed into trivial ideal and a subalgebra of e(l). Using this result, the Lie group is embedded isomorphically into the direct product of O(l)