### Computations in finite-dimensional Lie algebras.

Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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Crandall, Gordon, Dodziuk, Jósef (2002)

Journal of Lie Theory

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Richter, David A. (1999)

Journal of Lie Theory

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Zhiqi Chen (2011)

Czechoslovak Mathematical Journal

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Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and the Hamiltonian operators in formal variational calculus. In this note we prove that the underlying Lie algebras of quadratic Novikov algebras are 2-step nilpotent. Moreover, we give the classification up to dimension $10$.

Hernández, I., Peniche, R. (2008)

International Journal of Mathematics and Mathematical Sciences

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Chloup, Véronique (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Jan Kubarski (1991)

Revista Matemática de la Universidad Complutense de Madrid

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Nijenhuis, A. (1996)

Archivum Mathematicum

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Pestov, Vladimir (1995)

Journal of Lie Theory

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Baguis, P., Stavracou, T. (2002)

International Journal of Mathematics and Mathematical Sciences

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Benayed, Miloud, Souidi, El Mamoun (1998)

The New York Journal of Mathematics [electronic only]

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Francesco Catino, Ernesto Spinelli (2007)

Bollettino dell'Unione Matematica Italiana

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For a group algebra KG of a non-abelian group G over a field K of positive characteristic p we study the strong Lie derived length of the associated Lie algebra.