\contentsline {chapter}{\numberline {1}\leavevmode {\color {Chapter }The theory}}{5}{chapter.1}
\contentsline {chapter}{\numberline {2}\leavevmode {\color {Chapter }A sample calculation with \textsf {Sophus}}}{7}{chapter.2}
\contentsline {chapter}{\numberline {3}\leavevmode {\color {Chapter }\textsf {Sophus} functions}}{10}{chapter.3}
\contentsline {section}{\numberline {3.1}\leavevmode {\color {Chapter }Some general functions to compute with Lie algebras}}{10}{section.3.1}
\contentsline {subsection}{\numberline {3.1.1}\leavevmode {\color {Chapter }SophusTest}}{10}{subsection.3.1.1}
\contentsline {subsection}{\numberline {3.1.2}\leavevmode {\color {Chapter }IsLieNilpotentOverFp}}{10}{subsection.3.1.2}
\contentsline {subsection}{\numberline {3.1.3}\leavevmode {\color {Chapter }MinimalGeneratorNumber}}{10}{subsection.3.1.3}
\contentsline {subsection}{\numberline {3.1.4}\leavevmode {\color {Chapter }AbelianLieAlgebra}}{10}{subsection.3.1.4}
\contentsline {section}{\numberline {3.2}\leavevmode {\color {Chapter }Functions to compute with nilpotent bases}}{10}{section.3.2}
\contentsline {subsection}{\numberline {3.2.1}\leavevmode {\color {Chapter }NilpotentBasis}}{10}{subsection.3.2.1}
\contentsline {subsection}{\numberline {3.2.2}\leavevmode {\color {Chapter }LieNBWeights}}{11}{subsection.3.2.2}
\contentsline {subsection}{\numberline {3.2.3}\leavevmode {\color {Chapter }LieNBDefinitions}}{11}{subsection.3.2.3}
\contentsline {subsection}{\numberline {3.2.4}\leavevmode {\color {Chapter }IsNilpotentBasis}}{11}{subsection.3.2.4}
\contentsline {subsection}{\numberline {3.2.5}\leavevmode {\color {Chapter }IsLieAlgebraWithNB}}{11}{subsection.3.2.5}
\contentsline {section}{\numberline {3.3}\leavevmode {\color {Chapter }The cover}}{11}{section.3.3}
\contentsline {subsection}{\numberline {3.3.1}\leavevmode {\color {Chapter }LieCover}}{11}{subsection.3.3.1}
\contentsline {subsection}{\numberline {3.3.2}\leavevmode {\color {Chapter }CoverHomomorphism}}{11}{subsection.3.3.2}
\contentsline {subsection}{\numberline {3.3.3}\leavevmode {\color {Chapter }CoverOf}}{11}{subsection.3.3.3}
\contentsline {subsection}{\numberline {3.3.4}\leavevmode {\color {Chapter }IsLieCover}}{12}{subsection.3.3.4}
\contentsline {subsection}{\numberline {3.3.5}\leavevmode {\color {Chapter }LieMultiplicator}}{12}{subsection.3.3.5}
\contentsline {subsection}{\numberline {3.3.6}\leavevmode {\color {Chapter }LieNucleus}}{12}{subsection.3.3.6}
\contentsline {section}{\numberline {3.4}\leavevmode {\color {Chapter }Automorphisms of nilpotent Lie algebras}}{12}{section.3.4}
\contentsline {subsection}{\numberline {3.4.1}\leavevmode {\color {Chapter }NilpotentLieAutomorphism}}{12}{subsection.3.4.1}
\contentsline {subsection}{\numberline {3.4.2}\leavevmode {\color {Chapter }IdentityNilpotentLieAutomorphism}}{12}{subsection.3.4.2}
\contentsline {subsection}{\numberline {3.4.3}\leavevmode {\color {Chapter }IsNilpotentLieAutomorphism}}{12}{subsection.3.4.3}
\contentsline {section}{\numberline {3.5}\leavevmode {\color {Chapter }Automorphism group and isomorphism testing}}{13}{section.3.5}
\contentsline {subsection}{\numberline {3.5.1}\leavevmode {\color {Chapter }AutomorphismGroup}}{13}{subsection.3.5.1}
\contentsline {subsection}{\numberline {3.5.2}\leavevmode {\color {Chapter }AutomorphismGroupNilpotentLieAlgebra}}{13}{subsection.3.5.2}
\contentsline {subsection}{\numberline {3.5.3}\leavevmode {\color {Chapter }AreIsomorphicNilpotentLieAlgebras}}{13}{subsection.3.5.3}
\contentsline {section}{\numberline {3.6}\leavevmode {\color {Chapter }Descendants}}{13}{section.3.6}
\contentsline {subsection}{\numberline {3.6.1}\leavevmode {\color {Chapter }Descendants}}{13}{subsection.3.6.1}
\contentsline {subsection}{\numberline {3.6.2}\leavevmode {\color {Chapter }DescendantsOfStep1OfAbelianLieAlgebra}}{14}{subsection.3.6.2}
\contentsline {section}{\numberline {3.7}\leavevmode {\color {Chapter }Input and output}}{14}{section.3.7}
\contentsline {subsection}{\numberline {3.7.1}\leavevmode {\color {Chapter }WriteLieAlgebraToString}}{14}{subsection.3.7.1}
\contentsline {subsection}{\numberline {3.7.2}\leavevmode {\color {Chapter }ReadStringToNilpotentLieAlgebra}}{14}{subsection.3.7.2}
\contentsline {subsection}{\numberline {3.7.3}\leavevmode {\color {Chapter }WriteLieAlgebraListToFile}}{14}{subsection.3.7.3}
\contentsline {subsection}{\numberline {3.7.4}\leavevmode {\color {Chapter }SophusBuildManual}}{14}{subsection.3.7.4}
\contentsline {subsection}{\numberline {3.7.5}\leavevmode {\color {Chapter }SophusBuildManualHTML}}{14}{subsection.3.7.5}
