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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
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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