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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig
(2002)
*On certain families of naturally graded Lie algebras.*
Journal of Pure and Applied Algebra, 170
(1).
pp. 1-27.
ISSN 0022-4049

PDF
Restringido a Repository staff only 203kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022404901000858

## Abstract

In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n; q; 1) with n ≡ 1(mod 2) satisfying the centralizer property are given. This centralizer property constitutes a generalization, for any nilpotent algebra, of the structural properties characterizing the Lie algebra Qn. By considering certain cohomological classes of the space H2(g;C), it is shown that, with few exceptions, the isomorphism classes of these algebras are given by central extensions of Qn by Cp which preserve the nilindex and the

natural graduation.

Item Type: | Article |
---|---|

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 20930 |

Deposited On: | 19 Apr 2013 16:58 |

Last Modified: | 12 Dec 2018 15:13 |

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