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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 α, β of a real semisimple Lie algebra , such that α+β0, the corresponding root subspaces satisfy [α,β]=α+β.

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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