Authors

Ian M. Anderson

Document Type

Article

Publication Date

2-25-2015

Abstract

Let g be a split, semi-simple real Lie algebra. This implies, in particular, that there exists a Cartan subalgebra for g for which the associated root space decomposition of g is real. For such Lie algebras there is a very special basis called the Chevalley basis. In this worksheet we calculate the Chevalley basis for the Lie algebra sp(6, R) and illustrate the various properties of this basis.

ChevalleyBasis.mw (395 kB)
Maple worksheet

ChevalleyBasis.pdf (300 kB)
PDF file

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