\contentsline {chapter}{\numberline {1}\textcolor {Chapter }{The theory}}{4}{chapter.1}%
\contentsline {chapter}{\numberline {2}\textcolor {Chapter }{A sample calculation with \textsf {Sophus}}}{6}{chapter.2}%
\contentsline {chapter}{\numberline {3}\textcolor {Chapter }{\textsf {Sophus} functions}}{8}{chapter.3}%
\contentsline {section}{\numberline {3.1}\textcolor {Chapter }{Some general functions to compute with Lie algebras}}{8}{section.3.1}%
\contentsline {subsection}{\numberline {3.1.1}\textcolor {Chapter }{SophusTest}}{8}{subsection.3.1.1}%
\contentsline {subsection}{\numberline {3.1.2}\textcolor {Chapter }{IsLieNilpotentOverFp}}{8}{subsection.3.1.2}%
\contentsline {subsection}{\numberline {3.1.3}\textcolor {Chapter }{MinimalGeneratorNumber}}{8}{subsection.3.1.3}%
\contentsline {subsection}{\numberline {3.1.4}\textcolor {Chapter }{AbelianLieAlgebra}}{8}{subsection.3.1.4}%
\contentsline {section}{\numberline {3.2}\textcolor {Chapter }{Functions to compute with nilpotent bases}}{8}{section.3.2}%
\contentsline {subsection}{\numberline {3.2.1}\textcolor {Chapter }{NilpotentBasis}}{8}{subsection.3.2.1}%
\contentsline {subsection}{\numberline {3.2.2}\textcolor {Chapter }{LieNBWeights}}{9}{subsection.3.2.2}%
\contentsline {subsection}{\numberline {3.2.3}\textcolor {Chapter }{LieNBDefinitions}}{9}{subsection.3.2.3}%
\contentsline {subsection}{\numberline {3.2.4}\textcolor {Chapter }{IsNilpotentBasis}}{9}{subsection.3.2.4}%
\contentsline {subsection}{\numberline {3.2.5}\textcolor {Chapter }{IsLieAlgebraWithNB}}{9}{subsection.3.2.5}%
\contentsline {section}{\numberline {3.3}\textcolor {Chapter }{The cover}}{9}{section.3.3}%
\contentsline {subsection}{\numberline {3.3.1}\textcolor {Chapter }{LieCover}}{9}{subsection.3.3.1}%
\contentsline {subsection}{\numberline {3.3.2}\textcolor {Chapter }{CoverHomomorphism}}{9}{subsection.3.3.2}%
\contentsline {subsection}{\numberline {3.3.3}\textcolor {Chapter }{CoverOf}}{9}{subsection.3.3.3}%
\contentsline {subsection}{\numberline {3.3.4}\textcolor {Chapter }{IsLieCover}}{10}{subsection.3.3.4}%
\contentsline {subsection}{\numberline {3.3.5}\textcolor {Chapter }{LieMultiplicator}}{10}{subsection.3.3.5}%
\contentsline {subsection}{\numberline {3.3.6}\textcolor {Chapter }{LieNucleus}}{10}{subsection.3.3.6}%
\contentsline {section}{\numberline {3.4}\textcolor {Chapter }{Automorphisms of nilpotent Lie algebras}}{10}{section.3.4}%
\contentsline {subsection}{\numberline {3.4.1}\textcolor {Chapter }{NilpotentLieAutomorphism}}{10}{subsection.3.4.1}%
\contentsline {subsection}{\numberline {3.4.2}\textcolor {Chapter }{IdentityNilpotentLieAutomorphism}}{10}{subsection.3.4.2}%
\contentsline {subsection}{\numberline {3.4.3}\textcolor {Chapter }{IsNilpotentLieAutomorphism}}{11}{subsection.3.4.3}%
\contentsline {section}{\numberline {3.5}\textcolor {Chapter }{Automorphism group and isomorphism testing}}{11}{section.3.5}%
\contentsline {subsection}{\numberline {3.5.1}\textcolor {Chapter }{AutomorphismGroup}}{11}{subsection.3.5.1}%
\contentsline {subsection}{\numberline {3.5.2}\textcolor {Chapter }{AutomorphismGroupNilpotentLieAlgebra}}{11}{subsection.3.5.2}%
\contentsline {subsection}{\numberline {3.5.3}\textcolor {Chapter }{AreIsomorphicNilpotentLieAlgebras}}{11}{subsection.3.5.3}%
\contentsline {section}{\numberline {3.6}\textcolor {Chapter }{Descendants}}{12}{section.3.6}%
\contentsline {subsection}{\numberline {3.6.1}\textcolor {Chapter }{Descendants}}{12}{subsection.3.6.1}%
\contentsline {subsection}{\numberline {3.6.2}\textcolor {Chapter }{DescendantsOfStep1OfAbelianLieAlgebra}}{12}{subsection.3.6.2}%
\contentsline {section}{\numberline {3.7}\textcolor {Chapter }{Input and output}}{12}{section.3.7}%
\contentsline {subsection}{\numberline {3.7.1}\textcolor {Chapter }{WriteLieAlgebraToString}}{12}{subsection.3.7.1}%
\contentsline {subsection}{\numberline {3.7.2}\textcolor {Chapter }{ReadStringToNilpotentLieAlgebraOverFp}}{12}{subsection.3.7.2}%
\contentsline {subsection}{\numberline {3.7.3}\textcolor {Chapter }{WriteLieAlgebraListToFile}}{12}{subsection.3.7.3}%
\contentsline {chapter}{References}{13}{chapter*.5}%
\contentsline {chapter}{Index}{14}{section*.6}%
