Geodesic
Example of a linear algebra variety with the polynomial growth lower than three
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 51-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the case of characteristic zero, an example of a linear algebra variety with the growth greater than quadratic, but lower than cubic is constructed. 
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S. P. Mishchenko. Example of a linear algebra variety with the polynomial growth lower than three. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 51-54. http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a7/

[1] Giambruno A., Zaicev M., Polynomial identities and asymptotic methods, Mathematical Surveys and Monographs, 122, Amer. Math. Soc., Providence, RI, 2005 | DOI | MR

[2] Giambruno A., Mishchenko S.P., “Polynomial growth of the codimensions: A characterization”, Proc. Amer. Math. Soc., 138:3 (2010), 853–859 | DOI | MR

[3] Zaitsev M.V., Mischenko S.P., “Primer mnogoobraziya lineinykh algebr s drobnym polinomialnym rostom”, Vestn. Mosk. un-ta. Matem. Mekhan., 2008, no. 1, 25–31

[4] Drensky V., “Codimensions of $T$-ideals and Hilbert series of relatively free algebras”, J. Algebra, 91 (1984), 1–17 | DOI | MR

[5] Mishchenko S., Valenti A., “Varieties with at most quadratic growth”, Isr. J. Math., 178 (2010), 209–228 | DOI | MR

[6] Mishchenko S.P., Valenti A., “On the growth of varieties of algebras”, Contemp. Math., 499, 2009, 229–245 | DOI | MR