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math.RA2025
Graded contractions of the -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…
math.RA2024
Graded contractions on the orthogonal Lie algebras of dimensions 7 and 8
Cristina Draper, Thomas Leenen Meyer, Juana Sánchez-Ortega
Graded contractions of certain non-toral -gradings on the simple Lie algebras and $\f{so}(8,\mathbb C)$ are classified up to two notion…