A characteristically nilpotent Lie algebra can be a derived algebra
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- by Eugene M. Luks PDF
- Proc. Amer. Math. Soc. 56 (1976), 42-44 Request permission
Abstract:
An example is constructed of a Lie algebra whose derived algebra has only nilpotent derivations, thus answering a question of Dixmier and Lister.References
- J. Dixmier and W. G. Lister, Derivations of nilpotent Lie algebras, Proc. Amer. Math. Soc. 8 (1957), 155–158. MR 83101, DOI 10.1090/S0002-9939-1957-0083101-4
- G. Leger and S. Tôgô, Characteristically nilpotent Lie algebras, Duke Math. J. 26 (1959), 623–628. MR 114841
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 42-44
- MSC: Primary 17B30
- DOI: https://doi.org/10.1090/S0002-9939-1976-0407100-7
- MathSciNet review: 0407100