2 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…