A note on strongly split Lie algebras

  • Martín A. J. Calderón


Split Lie algebras are maybe the most known examples of graded Lie algebras. Since an important category in the class of graded algebras is the category of strongly graded algebras, we introduce, in a natural way, the category of strongly split Lie algebras $L$ and show that if $L$ is centerless, then $L$ is the direct sum of split ideals each of which is a split-simple strongly split Lie algebra.
How to Cite
Calderón, M. A. J. “A Note on Strongly Split Lie Algebras”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 7, July 2018, pp. 988-91, http://umj.imath.kiev.ua/index.php/umj/article/view/1611.
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