Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/412

 Title: Asymptotic Behaviour of Colength of Varieties of Lie Algebras Authors: Mishchenko, S.Zaicev, M. Keywords: Lie Algebras With Polynomial IdentitiesVarieties Of Lie AlgebrasCodimensionsColength Issue Date: 2000 Publisher: Institute of Mathematics and Informatics Citation: Serdica Mathematical Journal, Vol. 26, No 2, (2000), 145p-154p Abstract: We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product of two nilpotent varieties. Description: This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128. URI: http://hdl.handle.net/10525/412 ISSN: 1310-6600 Appears in Collections: Volume 26 Number 2

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