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math.RA2018
On Jordan doubles of slow growth of Lie superalgebras
Victor Petrogradsky, Ivan Shestakov
To an arbitrary Lie superalgebra we associate its Jordan double , which is a Jordan superalgebra. This notion was introduced by the second author before. Now…
math.RA2018
Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras
Victor Petrogradsky, Ivan Shestakov
We construct a just infinite fractal 3-generated Lie superalgebra over arbitrary field, which gives rise to an associative hull , a Poisson superalgebra $\ma…