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Sympletic forms and products by generators

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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2002) Sympletic forms and products by generators. Communications in Algebra, 30 (9). pp. 4235-4249. ISSN 0092-7872

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Official URL: http://0-www.tandfonline.com.cisne.sim.ucm.es/doi/pdf/10.1081/AGB-120013316


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Abstract

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.


Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:20842
Deposited On:15 Apr 2013 14:16
Last Modified:12 Dec 2018 15:13

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