Graded contractions of the ${\mathbb{Z}}_2^3$-gradings on the exceptional Lie algebras coming from octonions

Francisco Cuenca, Cristina Draper, Thomas L. Meyer

A total of 860 nonisomorphic \( \mathbb{Z}_2^3 \)-graded Lie algebras of dimensions 52, 78, 133, and 248 are obtained as graded contractions of the \( \mathbb{Z}_2^3 \)-gradings on…