### 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) |
---|---|

Pages (from-to) | 375-376 |

Number of pages | 2 |

Journal | Journal of Mathematical Physics |

Volume | 26 |

Issue number | 3 |

State | Published - 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*26*(3), 375-376.

**A Jacobson-Morozov lemma for sp(2n, R).** / Kocak, Huseyin.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 26, no. 3, pp. 375-376.

}

TY - JOUR

T1 - A Jacobson-Morozov lemma for sp(2n, R)

AU - Kocak, Huseyin

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36549102499&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549102499&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36549102499

VL - 26

SP - 375

EP - 376

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

ER -