A Sufficient Condition for Coincidence of Lower and Upper Exponents of the Variety of Linear Algebras / Mishchenko S.P., Verevkin A.B. and Zaitsev M.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. ? 2. P. 36-39. [Moscow Univ. Math. Bulletin. Vol. 66, No 2, 2011.].

Numerical characteristics of identities of Lie algebras are studied in the paper. We prove the existence of the fractional PI-exponent for one known soluble length three Lie algebra.

Key words: identities, codimensions, fractional exponential growth.