### Abstract

Two different methods due to Warden and Dynkin for the graphical representation of different types of Lie Algebra were discussed. Lie algebras arise 'in nature' as vector spaces of linear transformations together with a new operation which is in general neither commutative nor associative. Computer implementation, with the use of Mathematica, was used to calculate the roots systems and their related items used in either Warden or Dynkin diagrams.

Original language | English |
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Pages (from-to) | 1-28 |

Number of pages | 28 |

Journal | Advances in Modelling and Analysis A |

Volume | 39 |

Issue number | 3-4 |

Publication status | Published - 2002 |

### Keywords

- Dynkin Diagrams
- Roots Systems
- Semisimple Lie Algebra
- Warden Diagrams

### ASJC Scopus subject areas

- Modelling and Simulation

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## Cite this

Rahka, M. A. (2002). On the graphical representation of semisimple lie algebra.

*Advances in Modelling and Analysis A*,*39*(3-4), 1-28.