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Symplectic Structures on Free Nilpotent Lie algebras

Differential Geometry 2016-11-25 v1 Rings and Algebras

Abstract

In this work we study the problem of existence of symplectic structures on free nilpotent Lie algebras. Necessary and sufficient conditions are given for even dimensional ones. The one dimensional central extension for odd dimensional free nilpotent Lie algebras is also considered.

Keywords

Cite

@article{arxiv.1111.3280,
  title  = {Symplectic Structures on Free Nilpotent Lie algebras},
  author = {Viviana del Barco},
  journal= {arXiv preprint arXiv:1111.3280},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-21T19:35:51.879Z