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p-Filiform Zinbiel algebras

✍ Scribed by Camacho, L.M.; Cañete, E.M.; Gómez-Vidal, S.; Omirov, B.A.


Book ID
122908666
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
349 KB
Volume
438
Category
Article
ISSN
0024-3795

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We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer n there exists a solvable complete Lie algebra whose second cohomology group with values in the adjoint module has dimension at least n.