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- W2024570039 abstract "Left-symmetric algebras (LSAs) are Lie admissible algebras arising from geometry. The leftinvariant affine structures on a Lie groupG correspond bijectively to LSA-structures on its Lie algebra. Moreover if a Lie group acts simply transitively as affine transformations on a vector space, then its Lie algebra admits a complete LSA-structure. In this paper we studysimple LSAs having only trivial two-sided ideals. Some natural examples and deformations are presented. We classify simple LSAs in low dimensions and prove results about the Lie algebra of simple LSAs using a canonical root space decomposition. A special class of complete LSAs is studied." @default.
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- W2024570039 date "1998-12-01" @default.
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- W2024570039 title "Simple left-symmetric algebras with solvable Lie algebra" @default.
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- W2024570039 doi "https://doi.org/10.1007/bf02678039" @default.
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