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Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras

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Ancochea Bermúdez, José María y Campoamor Stursberg, Otto Ruttwig (2017) Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras. Linear and Multilinear Algebra . pp. 1-15. ISSN 1563-5139 (En prensa)

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URL Oficial: http://www.tandfonline.com/doi/full/10.1080/03081087.2017.1302404


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Resumen

It is shown that the two-known series of rank one (Formula presented.) and rank two (Formula presented.) finite-dimensional solvable rigid Lie algebras with non-vanishing second cohomology can be extended to solvable rigid Lie algebras of arbitrary rank (Formula presented.) such that the cohomology is preserved exactly. For the second series, it is further proved that an extension decreasing the cohomology exists, hence leading to cohomologically rigid Lie algebras.


Tipo de documento:Artículo
Palabras clave:Chevalley cohomology; Lie algebra; Quadratic Rim map; Rigidity; Solvable extension
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:42837
Depositado:22 May 2017 10:01
Última Modificación:12 Dic 2018 15:12

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