A note on the automorphism groups of Lie module triple systems

Hopkins, Nora C.

doi:10.1090/S0002-9939-1986-0861752-2

A note on the automorphism groups of Lie module triple systems
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by Nora C. Hopkins

Proc. Amer. Math. Soc. 98 (1986), 569-575

DOI: https://doi.org/10.1090/S0002-9939-1986-0861752-2

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Abstract:

Using representation theory and well-known facts about automorphism groups of reductive Lie algebras, the automorphism group of a basic Lie module triple system $(M,\{ ,,\} ,\mathcal {L},b,\phi )$ over an algebraically closed field of characteristic zero is related to the automorphism group of the Lie algebra $\mathcal {L}$, the automorphism group of the standard embedding $\mathcal {S}$ of $(M,\{ ,,\} )$, and the automorphism group of the split null extension $\mathcal {S}$ of $\mathcal {L}$ by $M$.

References

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