%0 Journal Article
%A Ancochea Bermúdez, José María
%A Campoamor-Stursberg, Rutwig
%T Sympletic forms and products by generators
%D 2002
%@ 0092-7872
%U https://hdl.handle.net/20.500.14352/58399
%X We introduce the product by generators of two nilpotent Liealgebras as a central extension of the direct sum and analyze symplectic structures on them. We show that, up to few exceptions, these products do not admit symplectic forms. Besides a general criterion, we indicate a procedure to construct symplectic forms in natural manner on quotient Lie algebras of certain products by generators.
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