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- W1755607913 abstract "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. For Lie algebras that admit a $56$-dimensional representation we provide a more symmetric construction based on an observation of Manivel; the input is seven quaternion algebras subject to some relations." @default.
- W1755607913 created "2016-06-24" @default.
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- W1755607913 date "2013-09-27" @default.
- W1755607913 modified "2023-09-27" @default.
- W1755607913 title "A rational construction of Lie algebras of type E_7" @default.
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