Submission: 2013, Sep 27
We give an explicit construction of Lie algebras of type E_7 out of a Lie algebra of type D_6 with some restrictions. Up to odd degree extensions, every Lie algebra of type E_7 arises this way. Some applications to Tits algebras and Rost invariant are mentioned.
2010 Mathematics Subject Classification: 17B25, 20G15
Keywords and Phrases: Exceptional Lie algebras, Triple systems, Rost invariant
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