We study numerical characteristics of varieties of Lie superalgebras and, in particular, the growth of codimensions. An example of an insoluble variety of almost polynomial growth is constructed. We prove that the exponent of this variety is equal to three and calculate the growth exponents for two earlier known soluble varieties.
机构:
Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia
Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, SloveniaUniv Ljubljana, Fac Educ, Ljubljana 1001, Slovenia
Repovs, Dusan
Zaicev, Mikhail
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Moscow MV Lomonosov State Univ, Fac Math & Mech, Dept Algebra, Moscow 119992, RussiaUniv Ljubljana, Fac Educ, Ljubljana 1001, Slovenia