A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts - Advances in Pure Mathematics

APM > Vol.4 No.6, June 2014

A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts ()

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DOI: 10.4236/apm.2014.46032 3,750 Downloads 5,011 Views

Author(s)

Thomas B. Gregory

Affiliation(s)

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

ABSTRACT

For a transitive depth-one graded Lie algebra over a field of characteristic greater than two, a limit on the degree of the highest gradation space is determined.

KEYWORDS

Graded Lie Algebras

Share and Cite:

Gregory, T. (2014) A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts. Advances in Pure Mathematics, 4, 242-243. doi: 10.4236/apm.2014.46032.

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