Symmetry classes of tensors as SL n(C)-modules

A. R. Madadi; M. Shahryari

doi:10.1080/03081080701393496

Symmetry classes of tensors as SL _n(C)-modules

A. R. Madadi, M. Shahryari^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For the Lie algebra SL _n(C), we will define a Lie module structure on the symmetry class of tensors V _x(G). We will obtain the irreducible constituents of this module. Also we will use our results to give some interesting results concerning symmetry classes of tensors.

Original language	English
Pages (from-to)	517-541
Number of pages	25
Journal	Linear and Multilinear Algebra
Volume	56
Issue number	5
DOIs	https://doi.org/10.1080/03081080701393496
Publication status	Published - Sept 2008
Externally published	Yes

Keywords

Lie algebras
Representations
Symmetry classes of tensors

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/03081080701393496

Cite this

@article{a9b8abf98c044aa98b7a324d99c32dd1,

title = "Symmetry classes of tensors as SL n(C)-modules",

abstract = "For the Lie algebra SL n(C), we will define a Lie module structure on the symmetry class of tensors V x(G). We will obtain the irreducible constituents of this module. Also we will use our results to give some interesting results concerning symmetry classes of tensors.",

keywords = "Lie algebras, Representations, Symmetry classes of tensors",

author = "Madadi, {A. R.} and M. Shahryari",

note = "Funding Information: This article consists of two parts. The first part, which is based upon a research project supported by Tabriz University, is written by the second author and it contains the case L ¼tmn{\dh}C{\TH} and its applications. The second part, the general case, is a joint work of the first and second authors.",

year = "2008",

month = sep,

doi = "10.1080/03081080701393496",

language = "English",

volume = "56",

pages = "517--541",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

number = "5",

}

TY - JOUR

T1 - Symmetry classes of tensors as SL n(C)-modules

AU - Madadi, A. R.

AU - Shahryari, M.

N1 - Funding Information: This article consists of two parts. The first part, which is based upon a research project supported by Tabriz University, is written by the second author and it contains the case L ¼tmnðCÞ and its applications. The second part, the general case, is a joint work of the first and second authors.

PY - 2008/9

Y1 - 2008/9

N2 - For the Lie algebra SL n(C), we will define a Lie module structure on the symmetry class of tensors V x(G). We will obtain the irreducible constituents of this module. Also we will use our results to give some interesting results concerning symmetry classes of tensors.

AB - For the Lie algebra SL n(C), we will define a Lie module structure on the symmetry class of tensors V x(G). We will obtain the irreducible constituents of this module. Also we will use our results to give some interesting results concerning symmetry classes of tensors.

KW - Lie algebras

KW - Representations

KW - Symmetry classes of tensors

UR - http://www.scopus.com/inward/record.url?scp=84864123421&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864123421&partnerID=8YFLogxK

U2 - 10.1080/03081080701393496

DO - 10.1080/03081080701393496

M3 - Article

AN - SCOPUS:84864123421

SN - 0308-1087

VL - 56

SP - 517

EP - 541

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 5

ER -