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Classification of solvable real rigid Lie algebras with a nilradical of dimension n ≤ 6

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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2015) Classification of solvable real rigid Lie algebras with a nilradical of dimension n ≤ 6. Linear Algebra and its Applications, 471 . pp. 54-75. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/S0024379514008222


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Abstract

The complete classification of real solvable rigid Lie algebras possessing a nilradical of dimension at most six is given. Eleven new isomorphism classes of indecomposable algebras are obtained. It is further shown that the resulting solvable Lie algebras have a vanishing second Chevalley cohomology group, thus correspond to algebraically rigid Lie algebras.


Item Type:Article
Uncontrolled Keywords:Real Lie algebra; Solvable; Rigidity; Cohomology
Subjects:Sciences > Mathematics
ID Code:30054
Deposited On:12 May 2015 09:13
Last Modified:12 Dec 2018 15:12

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