Abstract

We investigate the structure of simple modular Lie algebrasL over an algebraically closed field of characteristic p > 7. Every optimal torusT in some p-envelope ofL defines uniquely a subalgebraQ(L, T) ofL. We classify all L, for whichQ(L, T) ≠ L and which have a two-section of typeH (2; 1;Ф(τ))(1)

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