: A focus on "split" algebras where a Cartan subalgebra splits into root spaces, which generalizes results often only taught for algebraically closed fields.
: [ \dim W(m) = m \cdot p^m. ]
The Legacy of Nathan Jacobson's "Lie Algebras" Nathan Jacobson’s seminal book, Lie Algebras jacobson lie algebras pdf
: A foundational research paper exploring the algebraic properties of derivations, accessible via the University of Chicago UCI Mathematics Introduction to Lie Algebras and Representation Theory " (James E. Humphreys) : A focus on "split" algebras where a
The Jacobson Lie algebra construction is the only uniform way to build the exceptional simple Lie algebras ($\mathfrakf_4, \mathfrake_6, \mathfrake_7, \mathfrake_8$) without case-by-case checks, using the exceptional Jordan algebra (the Albert algebra). \mathfrake_8$) without case-by-case checks