Details
| Original language | English |
|---|---|
| Pages (from-to) | 369-374 |
| Number of pages | 6 |
| Journal | Linear Algebra and Its Applications |
| Volume | 370 |
| Early online date | 25 Mar 2003 |
| Publication status | Published - 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.
Keywords
- (Full) symmetry class of tensors, Decomposable symmetrized tensor, Irreducible characters of the symmetric group, Orthogonal basis
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Geometry and Topology
- Mathematics(all)
- Discrete Mathematics and Combinatorics
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In: Linear Algebra and Its Applications, Vol. 370, 01.09.2003, p. 369-374.
Research output: Contribution to journal › Article › Research › peer review
}
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 -