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Characteristically nilpotent Lie algebras and symplectic structures
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Dietrich Burde
Published/Copyright:
October 13, 2006
Abstract
We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space H2(š¯”¤,k) for certain Lie algebras š¯”¤. Among these Lie algebras are filiform CNLAs of dimension n ā‰¤ 14. It turns out that there are many examples of CNLAs which admit a symplectic structure. A generalization of a sympletic structure is an affine structure on a Lie algebra.
Received: 2004-09-15
Published Online: 2006-10-13
Published in Print: 2006-09-01
Ā© Walter de Gruyter
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Articles in the same Issue
- Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
- Higher-order Sobolev and PoincarƩ inequalities in Orlicz spaces
- Characteristically nilpotent Lie algebras and symplectic structures
- Equalities in algebras of generalized functions
- A geometric study of generalized Neuwirth groups
- On C. T. C. Wall's suspension theorem
- On compactness of Sobolev embeddings in rearrangement-invariant spaces
- Extending rationally connected fibrations
