RT Journal Article T1 Sympletic forms and products by generators A1 Ancochea Bermúdez, José María A1 Campoamor Stursberg, Otto-Rudwig AB We introduce the product by generators of two nilpotent Lie algebras 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. PB Taylor & Francis SN 0092-7872 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/58399 UL https://hdl.handle.net/20.500.14352/58399 LA eng DS Docta Complutense RD 26 sept 2024