3 papers
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.CO2024
Generalised nice sets
Cristina Draper, Thomas L. Meyer, Juana Sánchez-Ortega
A new combinatorial object, called generalised nice set, is classified up to collineations of the Fano plane. This classification is necessary to find the graded contractions of al…
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…