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. © 2005 Elsevier Inc. All rights reserved.

Previtali, A. (2005). Unitriangular actions on quadratic forms and character degrees. LINEAR ALGEBRA AND ITS APPLICATIONS, 408(1-3), 120-150 [10.1016/j.laa.2005.05.003].

Unitriangular actions on quadratic forms and character degrees

PREVITALI, ANDREA
2005

Abstract

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. © 2005 Elsevier Inc. All rights reserved.
Articolo in rivista - Articolo scientifico
quadratic forms
English
2005
408
1-3
120
150
none
Previtali, A. (2005). Unitriangular actions on quadratic forms and character degrees. LINEAR ALGEBRA AND ITS APPLICATIONS, 408(1-3), 120-150 [10.1016/j.laa.2005.05.003].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/49004
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
Social impact