### Abstract

A variation of the lemma of Jacobson-Morozov on the imbedding of a nonzero nilpotent element of the real symplectic algebra into the split simple three-dimensional Lie algebra is proved. The proof is algorithmic and relies on our earlier work on the theory of normal forms for the real symplectic algebra.

Original language | English (US) |
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Pages (from-to) | 375-376 |

Number of pages | 2 |

Journal | Journal of Mathematical Physics |

Volume | 26 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1985 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Koçak, H. (1985). A Jacobson-Morozov lemma for sp(2n, R).

*Journal of Mathematical Physics*,*26*(3), 375-376. https://doi.org/10.1063/1.526616