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Gregory, T.B. and Kuznetsov, M.I. On Graded Lie Algebras of Characteristic Three with Classical Reductive Null Component. (In Preparation)

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• TITLE: On the Initial Subalgebra of a Graded Lie Algebra

  AUTHORS: Thomas B. Gregory

  KEYWORDS: Prime-Characteristic Lie Algebras

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.9, September 22, 2014

  ABSTRACT: We show that each irreducible, transitive finite-dimensional graded Lie algebra over a field of prime characteristic p contains an initial subalgebra in which the pth power of the adjoint transformation associated with any element in the lowest gradation space is zero.