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- W1485071088 abstract "We explicitly construct a particular real form of the Lie algebra $mathfrak{e}_7$ in terms of symplectic matrices over the octonions, thus justifying the identifications $mathfrak{e}_7congmathfrak{sp}(6,mathbb{O})$ and, at the group level, $mathrm{E}_7congmathrm{Sp}(6,mathbb{O})$. Along the way, we provide a geometric description of the minimal representation of $mathfrak{e}_7$ in terms of rank 3 objects called cubies." @default.
- W1485071088 created "2016-06-24" @default.
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- W1485071088 date "2013-11-02" @default.
- W1485071088 modified "2023-09-27" @default.
- W1485071088 title "A Symplectic Representation of $mathrm{E}_7$" @default.
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- W1485071088 hasPublicationYear "2013" @default.
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