Simple Roots and Weyl Groups

G.Manjula

doi:https://doi.org/10.14445/22315373/IJMTT-V40P535

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 4 | Year 2016 | Article Id. IJMTT-V40P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P535

Simple Roots and Weyl Groups

G.Manjula

Citation :

G.Manjula, "Simple Roots and Weyl Groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 4, pp. 276-280, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P535

Abstract

Its origins in the theory of Lie algebras are introduced, and then an axiomatic definition is provided. Simple roots, Bases, Weyl groups, and the transitive action of the latter on the former are explained and proven, respectively.

Keywords

Simple roots, Bases, Weyl groups.

References

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[5] J.E. Humphrey, Introduction to Lie Algebras and Representation Theory, Springer, 1972.
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