E {7(-25)}

URI: https://gptkb.org/entity/E_{7(-25)}
GPTKB entity
Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
gptkbp:compact true
gptkbp:dimensions 133
gptkbp:hasCartanDecomposition e_{7(-25)} = e_6 + so(2) + 27 + 27̄
https://www.w3.org/2000/01/rdf-schema#label E {7(-25)}
gptkbp:isGroupOfType gptkb:E_7
gptkbp:isHermitianSymmetric true
gptkbp:maximalCompactSubgroup gptkb:E_6_×_U(1)/Z_3
gptkbp:realForm gptkb:E_7
gptkbp:realRank 3
gptkbp:relatedTo gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkbp:symmetricSpace gptkb:E_{7(-25)}/(E_6_×_U(1)/Z_3)
gptkbp:type gptkb:Lie_group
gptkbp:bfsParent gptkb:E_7
gptkbp:bfsLayer 6