We describe four fine gradings on the real form e 6,−26 . They are precisely the gradings whose complexifications are fine gradings on the complexified algebra e 6 . The universal grading groups are Zica, approvato con Decreto n.197 del 03/12/2014.and also Z-graded as

No abstract

The Weyl groups of the fine gradings on the exceptional Lie algebra e 6 whose universal grading group is infinite are computed.

Six fine gradings on the real form e 6,−14 are described, precisely those ones coming from fine gradings on the complexified algebra. The universal grading groups are Z 1 2 -grading on J defined bygetting then the mentioned Z 5 2 -grading on J . Also, the Z × Z 3 2 -grading on J is obtained by refining the Z 3 2 -grading (8) with the next Z-grading on J :which is just the eigenspace decomposition relative to the derivation 4[R ι 1 (1) , R E 22 ] ∈ Der(J ).