On the Lie algebra of skew-symmetric elements of an enveloping algebra |
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| Authors: | Salvatore Siciliano |
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| Institution: | Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Via Provinciale Lecce-Arnesano, 73100-Lecce, Italy |
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| Abstract: | Let L be a restricted Lie algebra over a field of characteristic p>2 and denote by u(L) its restricted enveloping algebra. We establish when the Lie algebra of skew-symmetric elements of u(L) under the principal involution is solvable, nilpotent, or satisfies an Engel condition. |
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| Keywords: | 16S30 16W10 17B60 |
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