On the real forms of the exceptional Lie algebra $ \mathfrak{e}_6$ and their Satake diagrams

Cristina Draper; Valerio Guido

arxiv: 1412.1659 · v1 · pith:4ZV27V5Vnew · submitted 2014-12-04 · 🧮 math.RA

On the real forms of the exceptional Lie algebra mathfrak{e}₆ and their Satake diagrams

Cristina Draper , Valerio Guido This is my paper

classification 🧮 math.RA

keywords mathfrakrealalgebradiagramsformssatakealbertalgebras

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Satake diagrams of the real forms $ \mathfrak{e}_{6,-26}$, $ \mathfrak{e}_{6,-14}$ and $ \mathfrak{e}_{6,2}$ are carefully developed. The first real form is constructed with an Albert algebra and the other ones by using the two paraoctonion algebras and certain symmetric construction of the magic square.

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On the real forms of the exceptional Lie algebra mathfrak{e}₆ and their Satake diagrams

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