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The absolute toral rank of a lie algebra

Part of the Lecture Notes in Mathematics book series (LNM,volume 1373)

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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References

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51147-2

  • Online ISBN: 978-3-540-46170-8

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