A note on 2-step subideals of Lie algebras
Ian Stewart (1973)
Compositio Mathematica
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Ian Stewart (1973)
Compositio Mathematica
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Richter, David A. (1999)
Journal of Lie Theory
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Bryant, R.M. (2009)
Beiträge zur Algebra und Geometrie
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Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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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 .
Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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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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