On the Initial Subalgebra of a Graded Lie Algebra

DOI: 10.4236/apm.2014.49058   PDF   HTML     2,333 Downloads   2,750 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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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