On the Initial Subalgebra of a Graded Lie Algebra

Thomas B. Gregory^*

Department of Mathematics, The Ohio State University at Mansfield, Mansfield, Ohio, USA.

DOI: 10.4236/apm.2014.49058                

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 p^th power of the adjoint transformation associated with any element in the lowest gradation space is zero.

Keywords

Prime-Characteristic Lie Algebras

Conflicts of Interest

The authors declare no conflicts of interest.

References

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