### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Modelling and Simulation

### Cite this

*Advances in Modelling and Analysis A*,

*39*(3-4), 1-28.

**On the graphical representation of semisimple lie algebra.** / Rahka, Medha Ahmed.

Research output: Contribution to journal › Article

*Advances in Modelling and Analysis A*, vol. 39, no. 3-4, pp. 1-28.

}

TY - JOUR

T1 - On the graphical representation of semisimple lie algebra

AU - Rahka, Medha Ahmed

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Dynkin Diagrams

KW - Roots Systems

KW - Semisimple Lie Algebra

KW - Warden Diagrams

UR - http://www.scopus.com/inward/record.url?scp=0038498053&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038498053&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 1

EP - 28

JO - Advances in Modelling and Analysis A

JF - Advances in Modelling and Analysis A

SN - 0761-2532

IS - 3-4

ER -