RealLie: A software package for real representations of quasi-simple Lie groups

written by Richard Bödi and Michael Joswig

The RealLie sofware package computes

• the possible dimensions of real representations of quasi-simple Lie groups
• the centralizers and the kernels of the representations
• the isomorphism type of the representation

The RealLie software package enables you to

• determine all real representations of all quasi-simple Lie groups within a given range of dimensions
• answer the question whether or not there exists a specific representation of a given Lie group
• print plain TeX tables of representations

The RealLie software package consists of three main components

• Generate creates a file containing information about real representations of quasi-simple Lie groups
• Filter browses files created with the Generate command and extracts specific information
• TeXit converts the output of Generate and Filter into TeX files

Sample pdf files of tables created with TeXit:   [ A₁(C,0) ] [ B₂(R,2)] [ D₄(R,2) ]

The RealLie software package is written in ANSI C and has been tested under various UNIX dialects (including LINUX), MacOS, and AmigaOS.

Download (includes installation notes and various makefiles)

• Gzipped tar-file for compilation under UNIX, MacOS (with MPW), AmigaOS: RealLie  [RealLie.tar.gz (size: 178 kByte)] Updated 10/27/98

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Last modified: Son Sep 09:08:39 UTC 2019 by mic