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Original Articles

COMPARISON OF PRODUCTS OF THE VARIETIES OF LIE ALGEBRAS

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Pages 4267-4275 | Received 01 Mar 2001, Published online: 01 Feb 2007
 

Abstract

Assume that a product 1…k of some varieties of Lie algebras over an infinite field is a subvariety of another product 1,…,ℓ. What can one say about the factors? We make clear in the paper how all such examples can be constructed.

ACKNOWLEDGMENTS

Both authors were supported in part by the Russian Fund for Basic Research 99-01-00894, the research of the first author was supported in part by the NSF grant DMS 0072307.

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