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Original scientific paper

A note on the root subspaces of real semisimple Lie algebras

H. Kraljević


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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

https://hrcak.srce.hr/717

Publication date:

26.6.2004.

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