On the graphical representation of semisimple lie algebra

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1-28
Number of pages28
JournalAdvances in Modelling and Analysis A
Volume39
Issue number3-4
Publication statusPublished - 2002

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Semisimple Lie Algebra
Graphical Representation
Algebra
Lie Algebra
Dynkin Diagram
Linear transformations
Mathematica
Root System
Linear transformation
Vector spaces
Vector space
Calculate

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

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

In: Advances in Modelling and Analysis A, Vol. 39, No. 3-4, 2002, p. 1-28.

Research output: Contribution to journalArticle

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