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 satises an Engel condition.
On the Lie algebra of skew-symmetric elements of an enveloping algebra
SICILIANO, Salvatore
2011-01-01
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 satises an Engel condition.File in questo prodotto:
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