A graph theoretical determination of solvable complete rigid Lie algebras

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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

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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
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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