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Campoamor Stursberg, Otto Ruttwig
(2003)
*A graph theoretical determination of solvable complete rigid Lie algebras.*
Linear Algebra and its Applications, 372
.
pp. 53-66.
ISSN 0024-3795

PDF
Restringido a Repository staff only 135kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0024379503004944

## Abstract

We describe a class of nilpotent Lie algebras completely determined by their associated weight graph. These algebras also present two important structural properties: to admit

naturally a symplectic form and to be isomorphic to the nilradical of a solvable complete rigid Lie algebra. These solvable algebras are proved to constitute a class of algebras where a symplectic form cannot exist. Finally we analyze the product by generators of the preceding

algebras, and show that this operator preserves the property of being the maximal nilpotent ideal of a solvable rigid Lie algebra

Item Type: | Article |
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Uncontrolled Keywords: | Lie algebra; Symplectic; Graph; Complete; Weight |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 21959 |

Deposited On: | 19 Jun 2013 16:12 |

Last Modified: | 12 Dec 2018 15:13 |

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