## 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 | |

Publication status | Published - Sept 2008 |

Externally published | Yes |

## Keywords

- Lie algebras
- Representations
- Symmetry classes of tensors

## ASJC Scopus subject areas

- Algebra and Number Theory

## Fingerprint

Dive into the research topics of 'Symmetry classes of tensors as SL_{n}(C)-modules'. Together they form a unique fingerprint.