Abstract
The new concept of an absolute toral rank for subalgebras in arbitrary modular Lie algebras is introduced. All nonsimple Lie algebras of absolute toral rank ≤2 are determined in terms of smaller constituents. The final result is the first step towards the classification of all simple modular Lie algebras.
1980 AMS subject classification (1985 revision)
- 17B50
- 17B20
Partially supported by NSF grant No. DMS-8702928.
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© 1989 Springer-Verlag
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Strade, H. (1989). The absolute toral rank of a lie algebra. In: Benkart, G., Osborn, J.M. (eds) Lie Algebras, Madison 1987. Lecture Notes in Mathematics, vol 1373. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088884
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DOI: https://doi.org/10.1007/BFb0088884
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