The classification of p-nilpotent restricted Lie algebras of dimension at most 4

C Schneider, H Usefi - Forum Mathematicum, 2016 - degruyter.com
C Schneider, H Usefi
Forum Mathematicum, 2016degruyter.com
… In this paper we initiate the classification of small-dimensional restricted Lie algebras.
Similar classifications for ordinary Lie algebras have a long history. The … We use as our
starting point, the classification of nilpotent Lie algebras of dimension 4 and classify the
possible equivalence classes of [ p ] -maps on these Lie algebras. …
Abstract
In this paper we obtain the classification of p-nilpotent restricted Lie algebras of dimension at most 4 over a perfect field of positive characteristic p.
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