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Degenerations of binary Lie and nilpotent Malcev algebras

Ivan KaygorodovCMCC, Universidade Federal do ABC, Santo André, BrazilYury PopovIMECC, Universidade Estadual de Campinas, Campinas, BrazilYury VolkovSaint Petersburg State University, Saint Petersburg, Russia
2018en
ABI

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We describe degenerations of four-dimensional binary Lie algebras, and five- and six-dimensional nilpotent Malcev algebras over ℂ. In particular, we describe all irreducible components of these varieties.

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