Degenerations of binary Lie and nilpotent Malcev algebras |
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| Authors: | Ivan Kaygorodov Yury Popov Yury Volkov |
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| Institution: | 1. CMCC, Universidade Federal do ABC, Santo André, Brazil;2. IMECC, Universidade Estadual de Campinas, Campinas, Brazil;3. Saint Petersburg State University, Saint Petersburg, Russia |
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| Abstract: | We describe degenerations of four-dimensional binary Lie algebras, and five- and six-dimensional nilpotent Malcev algebras over ?. In particular, we describe all irreducible components of these varieties. |
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| Keywords: | Binary Lie algebra degeneration Malcev algebra nilpotent algebra rigid algebra |
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