Geodesic
Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type
Algebra i logika, Tome 52 (2013) no. 3, pp. 352-369

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It is proved that a Novikov–Poisson algebra whose associative commutative part contains at least one element that is not a zero divisor is embedded in a Novikov–Poisson algebra of vector type. As a consequence, the corresponding Jordan superalgebra is special.
Keywords: Novikov algebra, Jordan superalgebra, Kantor's double, Jordan bracket.
Mots-clés : Novikov–Poisson algebra, Poisson bracket 
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     author = {A. S. Zakharov},
     title = {Embedding {Novikov{\textendash}Poisson} algebras in {Novikov{\textendash}Poisson} algebras of vector type},
     journal = {Algebra i logika},
     pages = {352--369},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_3_a4/}
}
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A. S. Zakharov. Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type. Algebra i logika, Tome 52 (2013) no. 3, pp. 352-369. http://geodesic.mathdoc.fr/item/AL_2013_52_3_a4/