The structure of the Young symmetrizers for spin representations of the symmetric group. I
type: Item
instance of: scholarly article
title: The structure of the Young symmetrizers for spin representations of the symmetric group. I
zbMATH Open document ID: 0966.20005
author: Andrew R. Jones
published in: Journal of Algebra
publication date: 2001-07-16T00:00:00Z
review text: To describe the ordinary representations of the symmetric group the concept of symmetrizer was introduced by Young, and for the projective representations by Schur. Recently [Adv. Math. 127, No. 2, 190-257 (1997; Zbl 0930.20011)] \textit{M. L. Nazarov} developed the concept of the projective symmetrizer to study the ordinary spin representations of the symmetric groups. In the paper under review the author proves some similarities between the ordinary symmetrizer and the projective symmetrizer for the symmetric group. To study the structure of such a symmetrizer the author has written three papers and the article under review is the first one.
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 20C25
zbMATH DE Number: 1214136
zbMATH Keywords: ordinary representations
zbMATH Keywords: projective representations
zbMATH Keywords: projective symmetrizers
zbMATH Keywords: spin representations
zbMATH Keywords: symmetric groups
zbMATH Keywords: ordinary symmetrizers
reviewed by: M. R. Darafsheh
MaRDI profile type: Publication
full work available at URL: jabr.1997.7400
OpenAlex ID: W2076277878
cites work: Special bases of irreducible representations of a degenerate affine Hecke algebra
cites work: Representations induced in an invariant subgroup
cites work: The Hook Graphs of the Symmetric Group
cites work: Q4002278
cites work: Q4002310
cites work: Q5510856
cites work: The Irreducible Representations of the Symmetric Groups
cites work: Q3952291
cites work: Q3947818
cites work: The Spin Representation of the Symmetric Group
cites work: THE SPIN CHARACTERS OF THE SYMMETRIC GROUPS
cites work: An orthogonal basis in irreducible projective representations of a symmetric group
cites work: Young's Orthogonal Form of Irreducible Projective Representations of the Symmetric Group
cites work: Young's symmetrizers for projective representations of the symmetric group
cites work: Capelli identities for lie superalgebras
cites work: Q3284627
cites work: Q5796606
cites work: THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
cites work: Shifted tableaux and the projective representations of symmetric groups
cites work: The projective representations of the hyperoctahedral group
cites work: Q4435456
cites work: Q4135451
DOI: 10.1006/JABR.1997.7400
description: scientific article; zbMATH DE number 1214136