### Abstract

It is known how to find minimal dimension matrix representations for four-dimensional complex Lie algebras. The method depends on constructing left symmetric structures. In this note it is explained how to obtain the representations directly and also how to extend the results to real Lie algebras. Two different bases for the four-dimensional Lie algebras are related to each other.

Original language | English |
---|---|

Pages (from-to) | 343-349 |

Number of pages | 7 |

Journal | Bulletin of the Malaysian Mathematical Sciences Society |

Volume | 36 |

Issue number | 2 |

Publication status | Published - 2013 |

Externally published | Yes |

### Fingerprint

### Keywords

- Four-dimensional lie algebra
- Minimal representation

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Bulletin of the Malaysian Mathematical Sciences Society*,

*36*(2), 343-349.

**Minimal matrix representations of four-dimensional lie algebras.** / Ghanam, Ryad; Thompson, G.

Research output: Contribution to journal › Article

*Bulletin of the Malaysian Mathematical Sciences Society*, vol. 36, no. 2, pp. 343-349.

}

TY - JOUR

T1 - Minimal matrix representations of four-dimensional lie algebras

AU - Ghanam, Ryad

AU - Thompson, G.

PY - 2013

Y1 - 2013

N2 - It is known how to find minimal dimension matrix representations for four-dimensional complex Lie algebras. The method depends on constructing left symmetric structures. In this note it is explained how to obtain the representations directly and also how to extend the results to real Lie algebras. Two different bases for the four-dimensional Lie algebras are related to each other.

AB - It is known how to find minimal dimension matrix representations for four-dimensional complex Lie algebras. The method depends on constructing left symmetric structures. In this note it is explained how to obtain the representations directly and also how to extend the results to real Lie algebras. Two different bases for the four-dimensional Lie algebras are related to each other.

KW - Four-dimensional lie algebra

KW - Minimal representation

UR - http://www.scopus.com/inward/record.url?scp=84880128998&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880128998&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84880128998

VL - 36

SP - 343

EP - 349

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 2

ER -