Unitriangular actions on quadratic forms and character degrees

✍ Scribed by Andrea Previtali

• Book ID: 104036342
• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 431 KB
• Volume: 408
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2005.05.003

✦ Synopsis

We determine canonical representatives and generating functions of orbit sizes for sesquilinear and quadratic forms under unitriangular action. These results are used to control how far character degrees and class sizes of unipotent subgroups of classical groups are from being powers of the order of the underlying field.