A note on semidirect sum of Lie algebras

  title={A note on semidirect sum of Lie algebras},
  author={Tadeusz Marian Ostrowski},
  journal={Discussiones Mathematicae General Algebra and Applications},
  • T. Ostrowski
  • Published 2013
  • Mathematics
  • Discussiones Mathematicae General Algebra and Applications
In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well. 


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