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.
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