On the Dimensions of Cyclic Symmetry Classes of Tensors

On the Dimensions of Cyclic Symmetry Classes of Tensors

The dimensions of the symmetry classes of tensors, associated with a certain cyclic subgroup of $mwhich is generated by a product of disjoint cycles is explicitly given in terms of the generalized Ramanujan sum. These dimensions can also be expressed as the Euler ϕ-function and the Möbius function....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of algebra 1998-07, Vol.205 (1), p.317-325
Hauptverfasser: Darafsheh, M.R, Pournaki, M.R
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The dimensions of the symmetry classes of tensors, associated with a certain cyclic subgroup of $mwhich is generated by a product of disjoint cycles is explicitly given in terms of the generalized Ramanujan sum. These dimensions can also be expressed as the Euler ϕ-function and the Möbius function.
ISSN:0021-8693
1090-266X
DOI:10.1006/jabr.1997.7376