On the existence of ad-nilpotent elements
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- by G. M. Benkart and I. M. Isaacs PDF
- Proc. Amer. Math. Soc. 63 (1977), 39-40 Request permission
Abstract:
A condition sufficient to guarantee the nilpotence of a derivation of a Lie algebra is given. It is used to obtain an elementary proof that a finite dimensional Lie algebra over an algebraically closed field of arbitrary characteristic necessarily contains an ad-nilpotent element.References
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G. M. Benkart, On inner ideals and ad-nilpotent elements, Trans. Amer. Math. Soc. (to appear).
- G. M. Benkart, I. M. Isaacs, and J. M. Osborn, Lie algebras with self-centralizing ad-nilpotent elements, J. Algebra 57 (1979), no. 2, 279–309. MR 533800, DOI 10.1016/0021-8693(79)90225-4
- Helmut Strade, Nonclassical simple Lie algebras and strong degeneration, Arch. Math. (Basel) 24 (1973), 482–485. MR 376788, DOI 10.1007/BF01228244
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 39-40
- MSC: Primary 17B05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0432721-6
- MathSciNet review: 0432721