Root Systems Lie Algebras  

作　　者：Amor Hasić Fatih Destović Amor Hasić;Fatih Destović(Department of Computer Science, International University of Novi Pazar, Novi Pazar, Serbia;Faculty of Educational Sciences, University of Sarajevo, Sarajevo, Bosnia and Herzegovina)

机构地区：[1]Department of Computer Science, International University of Novi Pazar, Novi Pazar, Serbia [2]Faculty of Educational Sciences, University of Sarajevo, Sarajevo, Bosnia and Herzegovina

出　　处：《Advances in Linear Algebra & Matrix Theory》2023年第1期1-20,共20页线性代数与矩阵理论研究进展（英文）

摘　　要：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.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.

关 键 词：Lie Algebras Root Systems Ways Chambers Dynkin Diagrams 

分 类 号：O15[理学—数学]