A combinatorial note for harmonic tensors.
type: Item
instance of: scholarly article
title: A combinatorial note for harmonic tensors.
zbMATH Open document ID: 1258.20010
DOI: 10.1155/2012/316389
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-10-16T00:00:00Z
review text: In this note the author proves that the annihilator of the space \(V^{\otimes n}/V^{\otimes n}B_n^{(1)}\) in the group algebra \(K S_n\) of the symmetric group \(S_n\) is the two-sided ideal generated by the symmetrizer \(x_{(m+1)}\), where \(\dim V=2m\).
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20C08
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 6093807
zbMATH Keywords: symmetric groups
zbMATH Keywords: tensor spaces
zbMATH Keywords: Brauer algebras
zbMATH Keywords: symplectic vector spaces
zbMATH Keywords: harmonic tensors
zbMATH Keywords: representations
author: Zhankui Xiao
reviewed by: Hu Jun
Wikidata QID: Q58705721
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/316389
OpenAlex ID: W2052905979
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DBLP publication ID: journals/ijmmsc/Xiao12
description: scientific article; zbMATH DE number 6093807