GAP Manual: 52. Character Table Libraries

The utility of GAP for character theoretical tasks depends on the availability of many known character tables, so there is a lot of tables in the GAP group collection.

There are three different libraries of character tables, namely ordinary character tables, Brauer tables and generic character tables.

Of course, these libraries are ``open'' in the sense that they shall be extended. So we would be grateful for any further tables of interest sent to us for inclusion into our libraries.

This chapter mainly explains properties not of single tables but of the libraries and their structure; for the format of character tables, see Character Table Records, Brauer Table Records and chapter Generic Character Tables.

The chapter informs about itemthe actually available tables (see Contents of the Table Libraries), itemthe sublibraries of ATLAS tables (see ATLAS Tables) and CAS tables (see CAS Tables), itemthe organization of the libraries (see Organization of the Table Libraries), itemand how to extend a library (see How to Extend a Table Library).

This chapter contains the following sections:

• 52.1. Contents of the Table Libraries
• 52.2. Selecting Library Tables
• 52.3. ATLAS Tables
• 52.4. Examples of the ATLAS format for GAP tables
• 52.5. CAS Tables
• 52.6. Organization of the Table Libraries
• 52.7. How to Extend a Table Library
• 52.8. FirstNameCharTable
• 52.9. FileNameCharTable