A note on the orthogonal basis of a certain full symmetry class of tensors

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • C. Bessenrodt
  • M. R. Pournaki
  • A. Reifegerste

Organisationseinheiten

Externe Organisationen

  • Institute for Studies in Theoretical Physics and Mathematics, Tehran
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)369-374
Seitenumfang6
FachzeitschriftLinear Algebra and Its Applications
Jahrgang370
Frühes Online-Datum25 März 2003
PublikationsstatusVeröffentlicht - 1 Sept. 2003

Abstract

A note on the orthogonal basis of a certain full symmetry class of tensors is presented. A combinatorial result on permutations for the proof of the theorem is also considered. It is shown that the full symmetry class of tensors associated with the irreducible character [2, 1n-2] of Sn does not have an orthogonal basis consisting of decomposable symmetrized tensors.

ASJC Scopus Sachgebiete

Zitieren

A note on the orthogonal basis of a certain full symmetry class of tensors. / Bessenrodt, C.; Pournaki, M. R.; Reifegerste, A.
in: Linear Algebra and Its Applications, Jahrgang 370, 01.09.2003, S. 369-374.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Bessenrodt C, Pournaki MR, Reifegerste A. A note on the orthogonal basis of a certain full symmetry class of tensors. Linear Algebra and Its Applications. 2003 Sep 1;370:369-374. Epub 2003 Mär 25. doi: 10.1016/S0024-3795(03)00426-9
Bessenrodt, C. ; Pournaki, M. R. ; Reifegerste, A. / A note on the orthogonal basis of a certain full symmetry class of tensors. in: Linear Algebra and Its Applications. 2003 ; Jahrgang 370. S. 369-374.
Download
@article{7fe38c64f4a94dc48e77c16bce5b74d0,
title = "A note on the orthogonal basis of a certain full symmetry class of tensors",
abstract = "A note on the orthogonal basis of a certain full symmetry class of tensors is presented. A combinatorial result on permutations for the proof of the theorem is also considered. It is shown that the full symmetry class of tensors associated with the irreducible character [2, 1n-2] of Sn does not have an orthogonal basis consisting of decomposable symmetrized tensors.",
keywords = "(Full) symmetry class of tensors, Decomposable symmetrized tensor, Irreducible characters of the symmetric group, Orthogonal basis",
author = "C. Bessenrodt and Pournaki, {M. R.} and A. Reifegerste",
note = "Funding information: ?Corresponding author. E-mail addresses: bessen@math.uni-hannover.de (C. Bessenrodt), pournaki@ipm.ir (M.R. Pour-naki), reifegerste@math.uni-hannover.de (A. Reifegerste). 1 The research of the author was in part supported by a grant from IPM.",
year = "2003",
month = sep,
day = "1",
doi = "10.1016/S0024-3795(03)00426-9",
language = "English",
volume = "370",
pages = "369--374",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",

}

Download

TY - JOUR

T1 - A note on the orthogonal basis of a certain full symmetry class of tensors

AU - Bessenrodt, C.

AU - Pournaki, M. R.

AU - Reifegerste, A.

N1 - Funding information: ?Corresponding author. E-mail addresses: bessen@math.uni-hannover.de (C. Bessenrodt), pournaki@ipm.ir (M.R. Pour-naki), reifegerste@math.uni-hannover.de (A. Reifegerste). 1 The research of the author was in part supported by a grant from IPM.

PY - 2003/9/1

Y1 - 2003/9/1

N2 - A note on the orthogonal basis of a certain full symmetry class of tensors is presented. A combinatorial result on permutations for the proof of the theorem is also considered. It is shown that the full symmetry class of tensors associated with the irreducible character [2, 1n-2] of Sn does not have an orthogonal basis consisting of decomposable symmetrized tensors.

AB - A note on the orthogonal basis of a certain full symmetry class of tensors is presented. A combinatorial result on permutations for the proof of the theorem is also considered. It is shown that the full symmetry class of tensors associated with the irreducible character [2, 1n-2] of Sn does not have an orthogonal basis consisting of decomposable symmetrized tensors.

KW - (Full) symmetry class of tensors

KW - Decomposable symmetrized tensor

KW - Irreducible characters of the symmetric group

KW - Orthogonal basis

UR - http://www.scopus.com/inward/record.url?scp=0037962254&partnerID=8YFLogxK

U2 - 10.1016/S0024-3795(03)00426-9

DO - 10.1016/S0024-3795(03)00426-9

M3 - Article

AN - SCOPUS:0037962254

VL - 370

SP - 369

EP - 374

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -