Geodesic
The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth
Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 877-884

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We prove that, in the case of ground field of characteristic zero, the variety cited in the title has almost polynomial growth. We construct an algebra generating this variety and completely describe the structure of the multilinear part of the variety as a module of the symmetric group.
Keywords: variety of algebras, linear algebra over a field, Jordan algebra, growth of an algebra, symmetric group, polynomial identity, irreducible representation, Young diagram. 
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     author = {S. P. Mishchenko and A. V. Popov},
     title = {The {Variety} of {Jordan} {Algebras} {Determined} by the {Identity} $(xy)(zt)\equiv0$ {Has} {Almost} {Polynomial} {Growth}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {877--884},
     publisher = {mathdoc},
     volume = {87},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a8/}
}
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S. P. Mishchenko; A. V. Popov. The Variety of Jordan Algebras Determined by the Identity $(xy)(zt)\equiv0$ Has Almost Polynomial Growth. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 877-884. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a8/