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On the Initial Subalgebra of a Graded Lie Algebra

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DOI: 10.4236/apm.2014.49058    2,230 Downloads   2,593 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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