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math.RA2015
Lie identities on symmetric elements of restricted enveloping algebras
S. Siciliano, H. Usefi
Let L be a restricted Lie algebra over a field of characteristic p > 2 and denote by u(L) its restricted enveloping algebra. We determine the conditions under which the set of symm…
math.RA2015
Lie Properties of Restricted Enveloping Algebras
Salvatore Siciliano, Hamid Usefi
Let L be a restricted Lie algebra over a field of positive characteristic. We survey the known results about the Lie structure of the restricted enveloping algebra u(L) of L. Relat…
math.RA2015
Engel condition on enveloping algebras of lie superalgebras
Salvatore Siciliano, Hamid Usefi
Let L be a Lie superalgebra over a fled of characteristic p\neq 2 with enveloping algebra U(L) or let L be a restricted Lie superalgebra over a field of characteristic p > 2 with r…