• Corpus ID: 119285792

A note on the structure of graded Lie algebras

  title={A note on the structure of graded Lie algebras},
  author={Wolfgang Alexander Moens},
  journal={arXiv: Rings and Algebras},
  • W. Moens
  • Published 5 December 2015
  • Mathematics
  • arXiv: Rings and Algebras
Consider a finite-dimensional, complex Lie algebra G and a semi-simple automorphism {\alpha}. This note aims to give a short and simple proof for explicit upper bounds for the derived length of the radical R and the rank of a Levi complement G/R in terms of the number of eigenvalues of {\alpha} and the dimension of the space of fixed-points. This is an extension of classical theorems by Kreknin, Shalev and Jacobson. 



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