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On the Initial Subalgebra of a Graded Lie Algebra
Department of Mathematics, The Ohio State University at Mansfield, Mansfield, Ohio, USA
- 1 Department of Mathematics, The Ohio State University at Mansfield, Mansfield, Ohio, USA
Advances in Pure Mathematics·Volume 04 (2014)·Pages 513–517·Published 4 September 2014·DOI10.4236/apm.2014.49058
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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<sup>th</sup> power of the adjoint transformation associated with any element in the lowest gradation space is zero.
KeywordsPrime-Characteristic Lie Algebras
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