• Corpus ID: 118441938

Lie subalgebras of the Weyl algebra. Lie algebras of order 3 and their application to cubic supersymmetry

@article{Tanasa2005LieSO,
  title={Lie subalgebras of the Weyl algebra. Lie algebras of order 3 and their application to cubic supersymmetry},
  author={Adrian Tanasa},
  journal={arXiv: High Energy Physics - Theory},
  year={2005}
}
  • A. Tanasa
  • Published 1 September 2005
  • Mathematics
  • arXiv: High Energy Physics - Theory
In the first part we present the Weyl algebra and our results concerning its finite-dimensional Lie subalgebras. The second part is devoted to a more exotic algebraic structure, the Lie algebra of order 3. We set the basis of a theory of deformations and contractions of these algebraic structures. We then concentrate on a particular such Lie algebra of order 3 which extends in a non-trivial way the Poincar\'e algebra, this extension being different of the supersymmetric extension. We then focus… 

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