Author(s)

Amor Hasić¹, Fatih Destović²

¹Department of Computer Science, International University of Novi Pazar, Novi Pazar, Serbia.
²Faculty of Educational Sciences, University of Sarajevo, Sarajevo, Bosnia and Herzegovina.

A root system is any collection of vectors that has properties that satisfy the roots of a semi simple Lie algebra. If g is semi simple, then the root system A, (Q) can be described as a system of vectors in a Euclidean vector space that possesses some remarkable symmetries and completely defines the Lie algebra of g. The purpose of this paper is to show the essentiality of the root system on the Lie algebra. In addition, the paper will mention the connection between the root system and Ways chambers. In addition, we will show Dynkin diagrams, which are an integral part of the root system.

Lie Algebras, Root Systems, Ways Chambers, Dynkin Diagrams

Hasić, A. and Destović, F. (2023) Root Systems Lie Algebras. Advances in Linear Algebra & Matrix Theory, 13, 1-20. doi: 10.4236/alamt.2023.131001.