Weyl Group

Name: Weyl Group
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Bol Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in particular the theory of Lie algebras, the Weyl group of a root system ¿ is a subgroup of the isometry group of the root system. Specifically, it is the subgroup which is generated by reflections through the hyperplanes orthogonal to the roots, and as such is a finite reflection group. Abstractly, Weyl groups are finite Coxeter groups, and are important examples of these. The Weyl group of a semi-simple Lie group, a semi-simple Lie algebra, a semi-simple linear algebraic group, etc. is the Weyl group of the root system of that group or algebra.

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in particular the theory of Lie algebras, the Weyl group of a root system ¿ is a subgroup of the isometry group of the root system. Specifically, it is the subgroup which is generated by reflections through the hyperplanes orthogonal to the roots, and as such is a finite reflection group. Abstractly, Weyl groups are finite Coxeter groups, and are important examples of these. The Weyl group of a semi-simple Lie group, a semi-simple Lie algebra, a semi-simple linear algebraic group, etc. is the Weyl group of the root system of that group or algebra.

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