Geodesic
Subinvariance in Solvable Lie Algebras
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 181-185

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper, Wielandt has continued his investigation of subnormal subgroups. Since the analogous concept is also of interest in Lie algebras, this note considers the Lie algebra counterparts to Wielandt's results. Generally the results do not carry over to all Lie algebras, but do hold in the solvable case. In order to state the main results, several definitions are needed and consequently we begin by listing some of the consequences. All Lie algebras considered here are finite dimensional over a field. 
Chao, Chong-Yun; Stitzinger, Ernest L. Subinvariance in Solvable Lie Algebras. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 181-185. doi: 10.4153/CJM-1976-023-7
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[1] 1. Jacobson, N., General representation theory of Jordan algebras, Trans. Amer. Math. Soc. 70 (1951), 509–530. Google Scholar

[2] 2. Jacobson, N., Zie Algebras (New York - London - Sydney: Interscience 1966). Google Scholar

[3] 3. Schenkman, E., A theory of subinvariant Lie algebras, Amer. J. Math. 73 (1951) 453–474. Google Scholar

[4] 4. Stitzinger, E., On saturated formations of solvable Lie algebras, Pacific J. Math. 47 (1973), 531–538. Google Scholar

[5] 5. Wielandt, H., Kriterien fur Subnormalitat in endlichenGruppen, Math. Z. 188 (1974), 199–203. Google Scholar

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