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^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

2 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	517-541
عدد الصفحات	25
دورية	Linear and Multilinear Algebra
مستوى الصوت	56
رقم الإصدار	5
المعرِّفات الرقمية للأشياء	https://doi.org/10.1080/03081080701393496
حالة النشر	Published - سبتمبر 2008
منشور خارجيًا	نعم

ASJC Scopus subject areas

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الوصول إلى المستند

10.1080/03081080701393496

الملفات والروابط الأخرى

قم بذكر هذا

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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",

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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

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