Computer condensation of modular representations

✍ Scribed by A.J.E. Ryba

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 624 KB
• Volume: 9
• Category: Article
• ISSN: 0747-7171
• DOI: 10.1016/s0747-7171(08)80076-4

✦ Synopsis

Condensation replaces an explicit matrix representation of a group by a related but much smaller representation of a Hecke algebra. We give a general account of condensation and show how condensation is used to obtain the structure of large matrix representations. We include a detailed description of a new implementation of condensation. As an example of condensation, we work through the stages of the computation of the 2-modular character table of G2(3).