Resumen de Subspaces of Real Four-Dimensional Lie Algebras: a Classification of Subalgebras, Ideals, and Full-Rank Subspaces

Rory Biggs, Claudiu C. Remsing

• We classify the subspaces of each real four-dimensional Lie algebra, up to automorphism.

  Enumerations of the subalgebras, ideals, and full-rank (or bracket generating) subspaces are obtained. Also, the interplay between quotients (resp. extensions) of algebras and such classifications is briefly considered.