2 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…