A Z₄³-grading on a 56-dimensional simple structurable algebra and related fine gradings on the simple Lie algebras of type E
Aranda, Diego · Elduque, Alberto · Kochetov, Mikhail
Original · EN
We describe two constructions of a certain Z₄³-grading on the so-called Brown algebra (a simple structurable algebra of dimension 56 and skew-dimension 1) over an algebraically closed field of characteristic different from 2 and 3. We also show how this grading gives rise to several interesting fine gradings on exceptional simple Lie algebras of types E6, E7 and E8.
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