\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.1.1}{The simple real Lie algebras}{chapter.1}% 2
\BOOKMARK [1][-]{section.1.2}{Cartan subalgebras and more}{chapter.1}% 3
\BOOKMARK [1][-]{section.1.3}{Nilpotent orbits}{chapter.1}% 4
\BOOKMARK [1][-]{section.1.4}{On base fields}{chapter.1}% 5
\BOOKMARK [0][-]{chapter.2}{The field SqrtField}{}% 6
\BOOKMARK [1][-]{section.2.1}{ Definition of the field }{chapter.2}% 7
\BOOKMARK [1][-]{section.2.2}{ Construction of elements }{chapter.2}% 8
\BOOKMARK [1][-]{section.2.3}{ Basic operations }{chapter.2}% 9
\BOOKMARK [0][-]{chapter.3}{Real Lie Algebras}{}% 10
\BOOKMARK [1][-]{section.3.1}{ Construction of simple real Lie algebras }{chapter.3}% 11
\BOOKMARK [1][-]{section.3.2}{ Isomorphisms}{chapter.3}% 12
\BOOKMARK [1][-]{section.3.3}{Cartan subalgebras and root systems}{chapter.3}% 13
\BOOKMARK [1][-]{section.3.4}{Diagrams}{chapter.3}% 14
\BOOKMARK [0][-]{chapter.4}{Real nilpotent orbits}{}% 15
\BOOKMARK [1][-]{section.4.1}{Nilpotent orbits in real Lie algebras}{chapter.4}% 16
\BOOKMARK [1][-]{section.4.2}{Nilpotent orbits in real Theta groups}{chapter.4}% 17
\BOOKMARK [0][-]{chapter*.5}{References}{}% 18
\BOOKMARK [0][-]{section*.6}{Index}{}% 19
