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

DOI: 10.4236/apm.2014.46032   PDF   HTML   XML   3,404 Downloads   4,321 Views  

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] 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).

  
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