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.