2 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
Special pure gradings on simple Lie algebras of types , ,
Cristina Draper, Alberto Elduque, Mikhail Kochetov
A group grading on a semisimple Lie algebra over an algebraically closed field of characteristic zero is special if its identity component is zero; it is pure if at least one of it…
A perspective on totally geodesic submanifolds of the symmetric space
Cristina Draper, Cándido Martín-González
We provide an independent proof of the classification of the maximal totally geodesic submanifolds of the symmetric spaces and , jointly with very natural descript…
New Lie algebras over the group
Francisco Cuenca Carrégalo, Cristina Draper
A new structure, based on joining copies of a group by means of a \emph{twist}, has recently been considered to describe the brackets of the two exceptional real Lie algebras of ty…
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…
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…