Filiform Left-Symmetric Algebras |
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Authors: | Karel Dekimpe Veerle Ongenae |
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Institution: | (1) Katholieke Universiteit Leuven, Campus Kortrijk, B-8500 Kortrijk, Belgium |
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Abstract: | A left-symmetric algebra is said to be filiform if both natural descending series induced by the product tend to zero, but as slow as possible. This is the analogue of the more common notion for Lie algebras. In this paper, we develop some theoretical aspects of this class of left-symmetric algebras and we also present a classification of them up till dimension 5. |
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Keywords: | Lie algebras filiform LSA structures |
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