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On the number of abelian left symmetric algebras
2000
Proceedings of the American Mathematical Society
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In this paper we prove that there are infinitely many abelian left symmetric algebras in dimensions ≥ 6. Equivalently this means that there are, up to affine conjugation, infinitely many simply transitive affine actions of R k , for k ≥ 6. This is a result which is usually credited to A.T. Vasquez, but for which there is no proof in the literature.
doi:10.1090/s0002-9939-00-05484-8
fatcat:ud73z2bctvdvzk4rymapq7nfuu