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 APM  Vol.4 No.9 , September 2014
On the Initial Subalgebra of a Graded Lie Algebra
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.
Cite this paper: Gregory, T. (2014) On the Initial Subalgebra of a Graded Lie Algebra. Advances in Pure Mathematics, 4, 513-517. doi: 10.4236/apm.2014.49058.
References

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[7]   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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