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Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence.

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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

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


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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
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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