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• W2147179610 abstract "In this paper we study the minimal number of generators for simple Lie algebras in characteristic 0 or p > 3. We show that any such algebra can be generated by 2 elements. We also examine the ‘one and a half generation’ property, i.e. when every non-zero element can be completed to a generating pair. We show that classical simple algebras have this property, and that the only simple Cartan type algebras of type W which have this property are the Zassenhaus algebras." @default.
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• W2147179610 date "2008-07-25" @default.
• W2147179610 modified "2023-10-06" @default.
• W2147179610 title "Generators of simple Lie algebras in arbitrary characteristics" @default.
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• W2147179610 doi "https://doi.org/10.1007/s00209-008-0397-3" @default.
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