Original scientific paper
A note on the root subspaces of real semisimple Lie algebras
H. Kraljević
Abstract
In this note we prove that for any two restricted roots $\alpha,$ $\beta$ of a real semisimple Lie algebra $\gg,$ such that $\alpha+\beta\not=0,$ the corresponding root subspaces satisfy $[\gg_{\alpha},\gg_{\beta}]=\gg_{\alpha+\beta}$.
Keywords
real semisimple Lie algebra; root systems; reduced roots; root subspaces
Hrčak ID:
717
URI
Publication date:
26.6.2004.
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