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

A. R. Madadi, M. Shahryari*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)517-541
Number of pages25
JournalLinear and Multilinear Algebra
Volume56
Issue number5
DOIs
Publication statusPublished - Sep 2008
Externally publishedYes

Keywords

  • Lie algebras
  • Representations
  • Symmetry classes of tensors

ASJC Scopus subject areas

  • Algebra and Number Theory

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