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- W2592279203 abstract "Let L be a finite-dimensional simple Lie algebra over an algebraically closed field F of characteristic p > 3 . We prove in this paper that if for every torus T of maximal dimension in the p -envelope of ad L in Der L the centralizer of T in ad L acts triangulably on L , then L is either classical or of Cartan type. As a consequence we obtain that any finite-dimensional simple Lie algebra over an algebraically closed field of characteristic p > 5 is either classical or of Cartan type. This settles the last remaining case of the generalized Kostrikin–Shafarevich conjecture (the case where p = 7 )." @default.
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- W2592279203 date "2007-08-01" @default.
- W2592279203 modified "2023-10-13" @default.
- W2592279203 title "Simple Lie algebras of small characteristic V. The non-Melikian case" @default.
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- W2592279203 doi "https://doi.org/10.1016/j.jalgebra.2007.02.059" @default.
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