naa a22 4500 510783163 CHVBK 20180411083254.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11856-012-0120-2 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0120-2 On the codimension growth of almost nilpotent Lie algebras [Elektronische Daten] [Dušan Repovš, Mikhail Zaicev] We study codimension growth of infinite dimensional Lie algebras over a field of characteristic zero. We prove that if a Lie algebra L is an extension of a nilpotent algebra by a finite dimensional semisimple algebra then the PI-exponent of L exists and is a positive integer. Hebrew University Magnes Press, 2012 Repovš Dušan Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P. O. B. 2964, 1001, Ljubljana, Slovenia aut Zaicev Mikhail Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, 119992, Moscow, Russia aut Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 137-150 0021-2172 194:1<137 2013 194 11856 https://doi.org/10.1007/s11856-012-0120-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0120-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Repovš Dušan Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P. O. B. 2964, 1001, Ljubljana, Slovenia aut NATIONALLICENCE 700 1- Zaicev Mikhail Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, 119992, Moscow, Russia aut NATIONALLICENCE 773 0- Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 137-150 0021-2172 194:1<137 2013 194 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer