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A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts
Department of Mathematics, The Ohio State University at Mansfield, Mansfield, USA
- 1 Department of Mathematics, The Ohio State University at Mansfield, Mansfield, USA
Advances in Pure Mathematics·Volume 04 (2014)·Pages 242–243·Published 6 June 2014·DOI10.4236/apm.2014.46032
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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.
KeywordsGraded Lie Algebras
- Kac, V.G. (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).