APMAdvances in Pure Mathematics2160-0368Scientific Research Publishing10.4236/apm.2014.46032APM-46624ArticlesPhysics&Mathematics A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts homasB. Gregory1*Department of Mathematics, The Ohio State University at Mansfield, Mansfield, USA* E-mail:gregory.6@osu.edu06062014040624224329 March 201428 April 2014 6 May 2014© Copyright 2014 by authors and Scientific Research Publishing Inc. 2014This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

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.

Graded Lie AlgebrasReferencesReferencesKac V.G. ,et al. (1968)Simple Irreducible Graded Lie Algebras of Finite Growth. Mathematics of the USSR-Izvestiya, 2, 1271-1312 (English), Izvestiya Akademii Nauk SSSR Seriya Matematicheskaya 32, 1323-1367 (Russian).