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Matematicheskie Zametki, 2014, Volume 95, Issue 6, Pages 867–877
DOI: https://doi.org/10.4213/mzm8961 (Mi mzm8961) 		 
Some Extremal Properties of the Variety of Leibniz Algebras Left Nilpotent of Class at Most Three

S. P. Mishchenko, Yu. Yu. Frolova

Ulyanovsk State University
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DOI: https://doi.org/10.4213/mzm8961
Abstract: It is proved, for the case in which the ground field is of characteristic zero, that the variety of Leibniz algebras left nilpotent of class at most three is a variety of almost exponential growth with almost polynomial growth of the colength and has almost finite multiplicities.
Keywords: variety of algebras, Leibniz algebras, nilpotent algebras, almost exponential growth, almost polynomial growth, almost finite multiplicities, Heisenberg algebras, Young diagram.
Received: 15.11.2010
Revised: 26.09.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 6, Pages 806–814
DOI: https://doi.org/10.1134/S0001434614050253
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. P. Mishchenko, Yu. Yu. Frolova, “Some Extremal Properties of the Variety of Leibniz Algebras Left Nilpotent of Class at Most Three”, Mat. Zametki, 95:6 (2014), 867–877; Math. Notes, 95:6 (2014), 806–814
Citation in format AMSBIB
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