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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig
(2016)
*Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence.*
Linear Algebra and its Applications, 488
(1).
pp. 135-147.
ISSN 0024-3795

PDF
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Official URL: http://www.sciencedirect.com/science/article/pii/S0024379515005686

## Abstract

It is shown that for a finite-dimensional solvable rigid Lie algebra r, its rank is upper bounded by the length of the characteristic sequence c(n) of its nilradical n. For any characteristic sequence c = (n(1),..., n(k,) 1), it is proved that there exists at least a solvable Lie algebra re the nilradical of which has this characteristic sequence and that satisfies the conditions H-p (r(c), r(c)) = 0 for p <= 3.

Item Type: | Article |
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Uncontrolled Keywords: | Lie algebra; Solvable; Rigidity; Rank; Cohomology; Characteristic sequence |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 34980 |

Deposited On: | 18 Jan 2016 13:26 |

Last Modified: | 12 Dec 2018 15:12 |

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