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Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras

 

作者: S.P. Mischchekno,   Amitai Regev,   Michail Zaicv,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 9  

页码: 4105-4130

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827077

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Following I. Volichenko we study varieties of Lie algebras over a field of characteristic zero, satisfying the identity [[x1,x2,x3], [x4x5x6]] = 0. We prove that the exponential growth of any proper subvariety is a positive integer and any positive integer can be so realized.

 

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